ahlfors-cont [15] L. V. Ahlfors, On quasiconformal mappings, J. Anal. Math. ...... li-luecking [340] H. Li and D. H. Luecking, BMO on strongly pseudoconvex ...
Bibliography
abakumov-zeit [1] E. Abakumov and E. Doubtsov,
Reverse estimates in growth spaces,
271 (2012), no. 1-2, 399413.
abakumov [2]
,
weights,
Math. Z.
Moduli of holomorphic functions and logarithmically convex radial
Bull. London Math. Soc. 47 (2015), no. 3, 519532.
abu-bloch [3] Y. Abu-Muhanna,
Bloch, BMO and harmonic univalent functions,
Variables, Theory Appl. 31 (1996), no. 3, 271279.
hanna-spherical [4] Y. Abu-Muhanna, R. M. Ali, and S. Ponnusamy, univalent harmonic mappings,
Complex
The spherical metric and
Monats. Math. (2018), 14 pp., to appear.
muhanna2018area [5] Y. Abu-Muhanna and I. Louhichi,
Area distortion under some orientation pre-
abu [6] Y. Abu-Muhanna and A. Lyzzaik,
The boundary behaviour of harmonic univa-
serving harmonic maps, lent maps,
Journal of Analysis 26 (2018), no. 1, 135150.
Pac. J. Math. 141 (1990), no. 1, 120.
muhanna-schober [7] Y. Abu-Muhanna and G. Schober,
Harmonic mappings onto convex domains,
Can. J. Math. 39 (1987), no. 6, 14891530.
Ah1 [8] P. Ahern,
735749.
The Poisson integral of a singular measure,
ahern-revista [9] P. Ahern and J. Bruna,
Maximal and area integral characterizations of Hardy n
Sobolev spaces in the unit ball of
123153.
ahern-jevtic [10] P. Ahern and M. Jevti¢,
C , Revista Mat. Iberoam. 4 (1988), no. 1,
Duality and multipliers for mixed norm spaces,
gan Math. J. 30 (1983), no. 1, 5364.
rn-jevtic-mean [11]
Can. J. Math. 35 (1983),
, Mean modulus and the fractional derivative plex Variables, Theory Appl. 3 (1984), 297311.
Michi-
of an inner function,
Com-
zero-hp [12] P. Ahern and W. Rudin, Zero sets of functions in harmonic Hardy spaces, Math.
Scand. 73 (1993), no. 2, 209214.
ahern-clark2 [13] P. R. Ahern and D. N. Clark,
Radial
Math. Scand. 28 (1971), 189201.
ahern-clark [14]
127.
, On
inner functions with
ahlfors-cont [15] L. V. Ahlfors,
hlfors-moebius [16]
N -th
derivatives of Blaschke products,
H p -derivative, Mich. Math. J. 21 (1974), 115
On quasiconformal mappings,
J. Anal. Math. 3 (1954), 158.
, Möbius transformations in several dimensions, Ordway Professorship Lectures in Mathematics, Ordway Professorship Lectures in Mathematics, Minneapolis, Minnesota, 1981.
508
Bibliography
Ahl [17]
, Lectures on quasiconformal mappings, The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, CA, 1987.
energy [18] I. Akramov, T. D¦biec, J. W. D. Skipper, and E. Wiedemann,
Energy conserva-
tion for the compressible Euler and NavierStokes equations with vacuum,
preprint arXiv:1808.05029 (2018).
Ale [19] A. B. Aleksandrov, Approximation
arXiv
by rational functions, and an analogue of the Lp -spaces with p ∈ (0, 1), Math.
M. Riesz theorem on conjugate functions for
USSR, Sb. 35 (1979), 301316. Alek [20]
alek-decay [21]
, Essays on nonlocally convex Hardy classes, Complex analysis and spectral theory (Leningrad, 1979/1980), Lecture Notes in Math., vol. 864, Springer, Berlin, 1981, pp. 189. , On the boundary decay Analiz 7 (1995), no. 4, 149.
in the mean of harmonic functions,
nicolau [22] A. B. Aleksandrov, J. M. Anderson, and A. Nicolau, spaces and symmetric measures,
no. 2, 318352.
eman1992hilbert [23] A. Aleman,
Algebra i
Inner functions, Bloch
Proc. London Math. Soc., III. Ser. 79 (1999),
Hilbert spaces of analytic functions between the Hardy and the
Dirichlet space,
Proc. Amer. Math. Soc. 115 (1992), no. 1, 97104.
aleman-conf [24] A. Aleman,
A class of integral operators on spaces of analytic functions, Topics in complex analysis and operator theory. Proceedings of the winter school in complex analysis and operator theory, Malaga, Spain, February 59, 2006, Malaga: Universidad de Malaga, 2007, pp. 330.
alemanpreduals [25] A. Aleman, M. Carlsson, and A.-M. Persson,
Var. Ell. Eq. 52 (2007), no. 7, 605628.
alemanpreduals2 [26]
tions,
Preduals of
, Preduals of Qp -spaces II. Carleson imbeddings Compl. Var. Ell. Eq. 52 (2007), no. 7, 629653.
aleman-cima [27] A. Aleman and J. A Cima,
An integral operator on
J. Anal. Math. 85 (2001), no. 1, 157176.
aleman-convex [28] A. Aleman and M. J. Martín, in
and atomic decomposiand Hardy's inequality,
Convex harmonic mappings are not necessarily
h1/2 , Proc. Amer. Math. Soc. 143 (2015), no. 2, 755763.
aleman-integral [29] A. Aleman and A. G. Siskakis,
Eq. 28 (1995), no. 2, 149158.
aleman-siskakis [30]
Hp
Qp -spaces, Compl.
, Integration operators (1997), no. 2, 337356.
aljan-pams [31] S. Aljan£i¢,
An integral operator on
on Bergman spaces,
H p , Compl. Var. Ell.
Indiana Univ. Math. J. 46
Lp (1 < p < ∞) of Fourier Proc. Amer. Math. Soc. 17 (1966), 287294.
On the integral moduli of continuity in
series with monotone coe cients,
Aljan [32] S. Aljan£i¢ and D. Aranelovi¢, O-regularly
(Beograd) (N.S.) 22(36) (1977), 522.
anderson-jm [33] J. M. Anderson, On
no. 2, 309317.
varying functions,
division by inner factors,
Publ. Inst. Math.
Comment. Math. Helv. 54 (1979),
509
Bibliography Clu-bloch [34] J. M. Anderson, J. Clunie, and Ch. Pommerenke, mal functions,
On Bloch functions and nor-
J. Reine Angew. Math. 270 (1974), 1237.
ander_gir [35] J. M. Anderson and D. Girela,
Inequalities of LittlewoodPaley type, multipliers
and radial growth of the derivative of analytic functions,
465 (1995), 1140.
ander [36] J. M. Anderson and A. L. Shields,
J. Reine Angew. Math.
Coe cient multipliers of Bloch functions,
Trans. Amer. Math. Soc. 224 (1976), no. 2, 255265.
arazy [37] J. Arazy, S. Fisher, and J. Peetre,
Möbius invariant function spaces,
Angew. Math. 363 (1985), 110145.
richlet-survey [38] N. Arcozzi, R. Rochberg, E. T. Sawyer, and B. D. Wick, survey,
New York J. Math. 17a (2011), 4586.
J. Reine
The Dirichlet space: a
Aron [39] N. Aronszajn, T. M. Creese, and L. J. Lipkin,
Polyharmonic functions, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, New York, 1983.
arregui [40] J. L. Arregui and O. Blasco, tions,
Bergman and Bloch spaces of vector-valued func-
Math. Nachr. 261/262 (2003), 322.
arroussi [41] H. Arroussi,
Function and operator theory on Large Bergman spaces,
thesis, Universitat de Barcelona, 2016, pp. vii+109.
arroussi-pau [42] H. Arroussi and J. Pau,
Reproducing kernel estimates, bounded projections and
duality on large weighted Bergman spaces,
22842312.
J. Geom. Anal. 25 (2015), no. 4,
misha [43] M. Arsenovi¢,
Embedding derivatives of M-harmonic Rocky Mt. J. Math. 29 (1999), no. 1, 6176.
pav-ars [44] M. Arsenovi¢ and M. Pavlovi¢, quasiregular mappings,
functions into
Lp
spaces,
On Dyakonov type theorems for harmonic
Czech. Math. J. 67 (2017), no. 2, 289296.
astala-iwaniec [45] K. Astala, T. Iwaniec, G. J. Martin, and J. Onninen, nite distortion,
Ph.D.
Extremal mappings of
Proc. Lond. Math. Soc. (3) 91 (2005), no. 3, 655702.
astala-koskela [46] K. Astala and P. Koskela, H p -theory
for quasiconformal mappings, Pure Appl. Math. Q. 7 (2011), no. 1, 1950, Special Issue: In honor of Frederick W. Gehring.
axler-bergman [47] S. Axler,
Bergman spaces and their operators, Surveys of some recent results in operator theory, vol. I, Pap. Lect. Spec. Year Oper. Theory, Indianapolis/Indiana 1985/86, Pitman Res. Notes Math. Ser. 171, 1988, pp. 150.
Axler [48] S. Axler, P. Bourdon, and W. Ramey,
Harmonic function theory,
Texts in Mathematics, vol. 137, Springer-Verlag, New York, 2001.
Babenko [49] K.I. Babenko,
An inequality in the theory of Fourier integrals,
SSSR Ser. Mat. 25 (1961), 531542 (Russian).
1976univalence [50] A. Baernstein II,
Univalence and bounded mean oscillation,
(1976), no. 3, 217223.
kol-bernstein [51]
Graduate
Izv. Akad. Nauk
Mich. Math. J. 23
, Some sharp inequalities for conjugate functions, Harmonic analysis in Euclidean spaces (Proc. Sympos. Pure Math., Williams Coll., Williamstown,
510
Bibliography Mass., 1978), Part 1, Proc. Sympos. Pure Math., XXXV, Part, Amer. Math. Soc., Providence, R.I., 1979, pp. 409416.
baernstein-BMO [52]
, Analytic functions of bounded mean oscillation, Aspects of Contemporary Complex Analysis, Academic Press, 1980, pp. 336.
baernstein [53] A. Baernstein II, D. Girela, and J. Á. Peláez, and spaces of Dirichlet type,
Univalent functions, Hardy spaces
Ill. J. Math. 48 (2004), no. 3, 837859.
zhu-hl [54] G. Bao, H. Wulan, and K. Zhu, A HardyLittlewood theorem for Bergman spaces,
Ann. Acad. Sci. Fenn., Math. 43 (2018), 807821.
bary-stechkin [55] N. K. Bari and S. B. Stechkin, Best two conjugate functions,
n-bary [56] N. K. Bary,
approximations and dierential properties of
Tr. Mosk. Mat. Obshch. 5 (1956), 483522 (Russian).
Trigonometric series,
Nauka, Moscow, 1961 (Russian).
brevig-trans [57] F. Bayart, O. F. Brevig, A. Haimi, J. Ortega-Cerdà, and K.-M. Perfekt, tractive inequalities for Bergman spaces and multiplicative Hankel forms,
Amer. Math. Soc. (2018), DOI: https://doi.org/10.1090/tran/7290.
Con-
Trans.
burbea-kodai [58] F. Beatrous and J. Burbea, Characterizations of spaces of holomorphic functions in the ball,
Kodai Math. J. 8 (1985), 3651.
Beckner [59] W. Beckner,
Inequalities in Fourier analysis,
159182.
peano-belov [60] A. S. Belov,
Ann. Math. (2) 102 (1975), no. 1,
On a problem of Salem and Zygmund concerning the smoothness of
an analytic function that generates a Peano curve,
10481060 (Russian).
Mat. Sb. 181 (1990), no. 8,
BS [61] C. Bennett and R. Sharpley, Interpolation
of operators, Pure and Applied Mathematics, vol. 129, Academic Press Inc., Boston, MA, 1988.
timoney [62] G. Bennett, D. A. Stegenga, and R. M. Timoney, Lipschitz functions,
Coe cients of Bloch and
Illinois J. Math. 25 (1981), 520531.
BL [63] J. Bergh and J. Löfström,
Interpolation spaces. An introduction, Grundlehren der Mathematischen Wissenschaften, No. 223, Springer-Verlag, Berlin, 1976.
bergman-kernel [64] S. Bergman, Rande. I, II,
bergman-book [65]
Über die Kernfunktion eines Bereiches und ihr Verhalten am
J. f. M. 169, 1-42; 172, 89-128 (1932) (German).
, The kernel function and conformal mapping, Mathematical Surveys, No. 5, Providence, R.I.: American Mathematical Society, 1950.
rnstein-inverse [66] S. N. Bernstein,
Sur l'approximation des fonctions continues par des polynomes,
C. R. Acad. Sci. Paris 152 (1911), 502504.
uliofsmoothness [67]
,
On the best approximation of continuous functions by polynomial of a
given degree,
sian). Bernstein [68]
Soobshch. Kharkov Mat. Obshch. 13 (1912), no. 2, 49194 (Rus-
, On majorants of nite or quasi- nite (NS) 65 (1949), 117120 (Russian).
sov1998boundary [69] K. O. Besov,
growth,
Dokl. Akad. Nauk SSSR
The boundary behavior of components of polyharmonic functions,
Math. Notes 64 (1998), no. 4, 450460.
511
Bibliography
Beurling [70] A. Beurling, On two problems concerning linear transformations in Hilbert space,
Acta Math. 81 (1949), 239255.
lfors-beurling [71] A. Beurling and L. V. Ahlfors, formal mappings,
ishop-blaschke [72] C. J. Bishop,
The boundary correspondence under quasicon-
Acta Math. 96 (1956), 125142.
Bounded functions in the little Bloch space,
(1990), no. 2, 209225.
bishop-inde [73]
, An indestructible Blaschke Barc. 37 (1993), no. 1, 95109.
ishop1961proof [74] E. Bishop and R. R. Phelps,
Pac. J. Math. 142
product in the little Bloch space,
Publ. Mat.,
A proof that every Banach space is subre exive,
Bull. Amer. Math. Soc 67 (1961), no. 1, 1.
Blaschke [75] W. Blaschke, Funktionen,
Eine Erweiterung des Satzes von Vitali über Folgen analytischer
Leipz. Ber. 67 (1915), 194200.
blasco-kalton [76] O. Blasco, Spaces of vector valued analytic functions and applications, Geometry
of Banach spaces, Proc. Conf., Strobl/Austria 1989, Lond. Math. Soc. Lect. Note Ser. 158, London Math. Soc., 1991, pp. 3348.
Blasco-Duke [77]
, Operators on weighted Bergman spaces (0 < p ≤ 1) Duke Math. J. 66 (1992), no. 3, 443467.
and applications,
blasco-contemp [78]
, Multipliers on weighted Besov spaces of analytic functions, Banach spaces. Proceedings of an international workshop on Banach space theory, held at the Universidad de Los Andes, Merida, Venezuela, January 6-17, 1992, Contemporary Mathematics, Providence, RI: American Mathematical Society, 1993, pp. 2333.
sco-multiplier [79]
, Multipliers no. 1, 4464.
blasco-duren [80]
lasco-weighted [81]
on spaces of analytic functions,
Canad. J. Math. 47 (1995),
, A remark on Carleson measures from H p to Lq (µ) for 0 < p < q < ∞, Proceedings of the lecture notes of the seminar, Universities of Malaga and Seville, Spain, September 2003June 2004, Sevilla: Univ. de Sevilla, Secretariado de Publicaciones, 2004, pp. 1119. , Remarks (2012), 137154.
on weighted mixed norm spaces,
Contemporary Math. 561
co-mult-vector [82] O. Blasco and J. L. Arregui,
Multipliers on vector valued Bergman spaces,
blasouza [83] O. Blasco and G. S. de Souza,
Spaces of analytic functions on the disc where
Canad. J. Math. 54 (2002), no. 6, 11651186.
Mp (F, r) no. 2, 580598.
the growth of
depends on a weight,
blapav [84] O. Blasco and M. Pavlovi¢, Paley inequalities,
blasco-revista [85]
Complex convexity and vector-valued Littlewood-
Bull. London Math. Soc. 35 (2003), no. 6, 749758.
, Coe cient multipliers on Banach Mat. Iberoam. 27 (2011), no. 2, 415447.
boas [86] R. P. Boas, Jr.,
655656.
J. Math. Anal. Appl. 147 (1990),
Isomorphism between
Hp
spaces of analytic functions,
and
Rev.
Lp , Amer. J. Math. 77 (1955),
512
Bibliography
Boe [87] B. Böe,
A norm on the holomorphic Besov space,
(2003), no. 1, 235241 (electronic).
bonetsolidcompl [88] J. Bonet, W. Lusky, and J. Taskinen, spaces,
Proc. Amer. Math. Soc. 131
Solid hulls and cores of weighted
Rev. Mat. Complutense (2018), to appear.
bonetsolid [89] J. Bonet and J. Taskinen,
Solid hulls of weighted Banach spaces of analytic
functions on the unit disc with exponential weights,
(2018), 521530.
bonetrevista [90]
, Solid hulls of weighted Banach Iberoam. 34 (2018), no. 2, 593568.
bonet-vuk [91] J. Bonet and D. Vukoti¢, analytic functions,
Ann. Acad. Sci. Fenn. 43
spaces of entire functions,
Rev. Mat.
A note on completeness of weighted normed spaces of
Results Math. 72 (2017), no. 1-2, 263279.
alm2012weighted [92] A. Borichev and H. Hedenmalm, tions,
H∞
Weighted integrability of polyharmonic func-
Adv. Math. 264 (2014), 464505.
bourbaki [93] N. Bourbaki, Elements
of mathematics. Functions of a real variable. Elementary
theory. Transl. from the French.,
Berlin: Springer, 2004.
bourdon [94] P.S. Bourdon, J. H. Shapiro, and W. Sledd, spaces, and bounded mean oscillation,
Fourier series, mean Lipschitz
Analysis at Urbana, Vol. I (Urbana, IL, 19861987), vol. 137, London Math. Soc. LNS, 1995, pp. 81110.
Bourg [95] J. Bourgain,
New Banach space properties of the disc algebra and
Math. 152 (1984), no. 1-2, 148.
karap [96] V. Boºin and B. Karapetrovi¢,
Failure of Korenblum's maximum principle in
Bergman spaces with small exponents,
25772584.
Proc. Amer. Math. Soc. 146 (2018), no. 6,
evigcontractive [97] O. F. Brevig, J. Ortega-Cerdà, K. Seip, and J. Zhao, for Hardy spaces,
publication.
Contractive inequalities
Funct. Approx. Comment. Math. (2018), 16 pages, Advance
vukotic-koskela [98] S. M. Buckley, P. Koskela, and D. Vukoti¢, tion, and weighted Bergman spaces,
(1999), no. 2, 369385.
Fractional integration, dierentia-
Math. Proc. Cambridge Philos. Soc. 126
vukotic-compact [99] S. M. Buckley, M. S. Ramanujan, and D. Vukoti¢, tipliers between Bergman and Hardy spaces,
no. 1, 119.
buckley [100] S.M. Buckley, Relative
Bounded and compact mul-
Integral Eq. Oper. Th. 35 (1999),
solidity for spaces of holomorphic functions,
R. Ir. Acad. 104A (2004), no. 1, 8397 (electronic).
burbea [101] J. Burbea,
H ∞ , Acta
Math. Proc.
Sharp inequalities for holomorphic functions,
Illinois J. Math. 31
GBS [102] D. L. Burkholder, R. F. Gundy, and M. L. Silverstein,
A maximal function
(1987), 248264.
characterization of the class
Calderon [103] A. P. Calderón,
H p , Trans. Amer. Math. Soc. 157 (1971), 137153.
Commutators of singular integral operators,
Sci. U.S.A. 53 (1965), 10921099.
Proc. Nat. Acad.
513
Bibliography
cal-zyg [104] A. P. Calderón and A. Zygmund, A note on the interpolation of linear operators,
Studia Math. 12 (1951), 194204.
campanato [105] S. Campanato,
Proprietà di Hölderianità di alcune classi di funzioni, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 17 (1963), 175188 (Italian).
campbell [106] D. Campbell, J. Cima, and K. Stephenson, but not in BMOA,
Carleman [107] T. Carleman, car-1 [108] L. Carleson,
A Bloch function in all
Hp
Proc. Amer. Math. Soc. 78 (1980), 228230.
Zur Theorie der Minimal ächen,
Math. Zeit. 9 (1921), 154160.
An interpolation problem for bounded analytic functions,
Math. 80 (1958), 921930.
repr-dirichlet [109] car-2 [110] Car [111]
classes,
Amer. J.
, A representation formula for the Dirichlet integral, Math. Z. 73 (1960), 190196. , Interpolations by bounded Ann. Math. 75 (1962), 547559. , On convergence and Math. 116 (1966), 135137.
analytic functions and the corona problem,
growth of partial sums of Fourier series,
morrey [112] C. Cascante, J. Fàbrega, and J. M. Ortega, Hardy and Morrey spaces,
no. 3, 579607.
chaconperez [113] G. R. Chacon Perez, Dirichlet spaces,
chen-schwarz [114] HuaiHui Chen,
The corona theorem for weighted
Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13 (2014),
Carleson-type inequalitites in harmonically weighted
Ph.D. thesis, University of Tennessee Knoxville, 2010.
The SchwarzPick lemma and Julia lemma for real planar har-
monic mappings,
Cho [115] G. Choquet,
Science China Mathematics 56 (2013), no. 11, 23272334.
Sur un type de transformation analytique généralisant la représen-
tation conforme et de nie au moyen de fonctions harmoniques,
II. Ser. 69 (1945), 156165.
cima-volterra [116] J. A. Cima,
Acta
A type of Volterra operator,
Bull. Sci. Math.,
Complex Anal. Synerg. 2 (2016), 4 pp.
ransform-short [117] J. A. Cima, A. L. Matheson, and W. T. Ross,
The Cauchy transform, Operator Theory: Advances and Applications 156, Basel: Birkhäuser, 2005, Expanded version of talks and papers presented at a conference on the occasion of the 75th birthday of Harold S. Shapiro, Santa Barbara, CA, USA, March 2003.
auchytransform [118]
, The Cauchy transform, Mathematical Surveys and Monographs 125, Providence, RI: American Mathematical Society (AMS), 2006.
cima-nicolau [119] J. A. Cima and A. Nicolau, space,
Inner functions with derivatives in the weak Hardy
Proc. Amer. Math. Soc. 143 (2015), no. 2, 581594.
oss-nema-limes [120] J. A. Cima and W. T. Ross,
The backward shift on the Hardy space, Mathematical Surveys and Monographs. 79, Providence, RI: American Mathematical Society (AMS), 2000.
ma1976analytic [121] J. A. Cima and G. Schober, and logarithms of
Hp
Analytic functions with bounded mean oscillation
functions,
Math. Z. 151 (1976), no. 3, 295300.
514
Bibliography
clu-small [122] J. Clunie and T. Sheil-Small,
Fenn., Ser. A I 9 (1984), 325.
Harmonic univalent functions,
clunie [123] J. G. Clunie and T. H. MacGregor, functions,
Radial growth of the derivative of univalent
Comment. Math. Helv. 59 (1984), 362375.
cohn-verb [124] W. S. Cohn and I. E. Verbitsky, tors,
Ann. Acad. Sci.
Fatorization of tent spaces and Hankel opera-
J. Funct. Anal. 175 (2000), no. 2, 308329.
tent [125] R. R. Coifman, Y. Meyer, and E. M. Stein, applications to harmonic analysis,
CR [126] R. R. Coifman and R. Rochberg, harmonic functions in
Some new function spaces and their
J. Funct. Anal. 62 (1985), no. 2, 304335.
Representation theorems for holomorphic and
Lp , Asterisque 77 (1980), 1166.
Colwell [127] P. Colwell,
Blaschke products, Bounded analytic functions, University of Michigan Press, Ann Arbor, MI, 1985.
colzani-thesis [128] L. Colzani,
Hardy and Lipschitz spaces on unit spheres,
ton University, St. Louis, 1982.
ni-atomic-boll [129]
Ph.D. thesis, Washing-
, Hardy-spaces on unit spheres, Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 4 (1985), 219244.
olzano-maximal [130] L. Colzani, M. H. Taibleson, and G. Weiss, Riesz means on spheres,
015boundedness [131] O. Constantin and J. Á. Pelaéz,
Lp -spaces
with exponential weights,
cluer [132] C. C. Cowen and B. D. MacCluer, functions,
Maximal estimates for Cesàro and
Indiana Univ. Math. J. 33 (1984), 873889.
Boundedness of the Bergman projection on
Bull. Sci. Math. 139 (2015), no. 3, 245268.
Composition operators on spaces of analytic
Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995.
kol-davis-weak [133] B. Davis, On the weak type (1, 1) inequality for conjugate functions, Proc. Amer.
Math. Soc. 44 (1974), 307311.
DGJ [134] W. J. Davis, D. J. H. Garling, and N. Tomczak-Jaegermann, convexity of quasi-normed linear spaces,
day [135] M. M. Day,
816823.
The spaces
Lp
with
0 < p < 1, Bull. Amer. Math. Soc. 46 (1940),
leeuw [136] K. de Leeuw, Y. Katznelson, and J.-P. Kahane, des fonctions continues,
The complex
J. Funct. Anal. 55 (1984), 110150.
Sur les coe cients de Fourier
C. R. Acad. Sci., Paris, Sér. A 285 (1977), 10011003.
Reyna [137] J. A. de Reyna, Pointwise convergence of Fourier series, Lecture Notes in Math-
ematics, vol. 1785, Springer-Verlag, Berlin, 2002.
souza-london [138] G. S. de Souza and G. Sampson, A functions,
real characterization of the pre-dual of Bloch
J. London Math. Soc. 2 (1983), no. 2, 267276.
devore [139] R. A. DeVore and G. G. Lorentz,
Constructive approximation, Grundlehren der Mathematischen Wissenschaften 303, Berlin: Springer-Verlag, 1993.
iamant-hilbert [140] E. Diamantopoulos and A. G. Siskakis, matrix,
Composition operators and the Hilbert
Studia Math. 140 (2000), no. 2, 191198.
515
Bibliography diestel [141] J. Diestel,
Geometry of Banach spacesselected topics,
ematics, Vol. 485, Springer-Verlag, Berlin, 1975.
Lecture Notes in Math-
absolu-summ [142] J. Diestel, H. Jarchow, and A. Tonge,
Absolutely summing operators, paperback reprint of the hardback edition 1995 ed., vol. 43, Cambridge: Cambridge University Press, 2008.
?olja-pav-lp? [143] O. Djordjevi¢ and M. Pavlovi¢, On a Littlewood-Paley type Amer. Math. Soc. 135 (2007), no. 11, 36073611 (electronic). djr [144] A. E. Djrbashian and F. A. Shamoyan,
inequality,
Topics in the theory of
Leipzig: BSB B.G. Teubner Verlagsgesellschaft, 1988.
n1945canonical [145] M. M. Djrbashian, the unit disc,
yan1948problem [146]
Apα
Proc.
spaces,
On canonical representation of functions meromorphic in
Dokl. Akad. Nauk Arm. SSR, vol. 3, 1945, pp. 39.
, On the problem of the representation of analytic functions, Soobshch. Inst. Mat. Mekh. Akad. Nauk ArmSSR (1948), no. 2, 340.
ko1998boundary [147] E. P. Dolzhenko, functions,
On boundary properties of the components of polyharmonic
Math. Notes 63 (1998), no. 6, 724735.
e2002univalent [148] J. J. Donaire, D. Girela, and D. Vukotic, On univalent functions in some Möbius invariant spaces,
-unboundedness [149] M. R. Dostani¢,
J. Reine Angew. Math. 553 (2002), 4372.
ic-multipliers [150]
growth,
Lp spaces with Proc. Edinb. Math. Soc., II. Ser. 47 (2004), no. 1, 111117.
Unboundedness of the Bergman projections on
exponential weights,
, Multipliers in the space of analytic functions Asymptotic Anal. 65 (2009), no. 3-4, 191201.
dost-hilbert [151] M. R. Dostani¢, M. Jevti¢, and D. Vukoti¢,
with exponential mean
Norm of the Hilbert matrix on
Bergman and Hardy spaces and a theorem of Nehari type,
(2008), no. 11, 28002815.
doubtsov [152] E. Doubtsov, weights,
J. Funct. Anal. 254
Integral means of holomorphic functions as generic log-convex
Bull. Aust. Math. Soc. 97 (2018), no. 1, 8893.
douglas [153] J. Douglas,
Solution of the problem of Plateau,
(1931), 263321.
dovgo-riih [154] O. Dovgoshey and J. Riihentaus, harmonic functions,
Trans. Amer. Math. Soc. 33
Bi-Lipschitz mappings and quasinearly sub-
Int. J. Math. Math. Sci. 2010 (2010), 8 p.
dov-riih [155] O. Dovgoshey and J. Riihentaus,
On quasinearly subharmonic functions,
Lobachevskii J. Math. 38 (2017), no. 2, 245254.
doubtsov-hyp [156] E. S. Dubtsov, polydisks,
Composition operators between Bloch and BMOA spaces on
J. Math. Sci., New York 229 (2018), no. 5, 518527.
duren-bergman [157] P. Duren and A. Schuster,
Bergman spaces, Mathematical Surveys, No. 100, Providence, RI: American Mathematical Society (AMS), 2004.
duren-carleson [158] P. L. Duren,
en-multipliers [159]
Extension of a theorem of Carleson,
(1969), 143146. 2427.
,
On the multipliers of
Hp
spaces,
Bull. Amer. Math. Soc. 75
Proc. Amer. Math. Soc. 22 (1969),
516
Bibliography
Dua70 [160]
, Theory of H p spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York, 1970.
Du2 [161]
, Univalent functions, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 259, Springer-Verlag, New York, 1983.
Duren-planar [162]
, Harmonic mappings in the plane, Cambridge Tracts in Mathematics, vol. 156, Cambridge University Press, Cambridge, 2004.
DRS [163] P. L. Duren, B. W. Romberg, and A. L. Shields, spaces with
H p (0 < p < 1) and space, Trans. Amer. Math. Soc. 141 (1969), 255262.
Banach
6978.
Djak [167]
Properties of
, Coe cient multipliers of H p
onov1992smooth [166] K. M. Dyakonov, erator,
Bp
, Equivalent norms on Lipschitz-type Acta Math. 178 (1997), no. 2, 143167.
Dyakonov-Besov [169]
, Besov 143157.
ov-inner-bloch [170]
, Weighted Bloch spaces, H p , 65 (2002), no. 2, 411417. uli,
spaces,
Paci c J. Math. 32 (1970),
Smooth functions and co-invariant subspaces of the shift op-
, The moduli of holomorphic Math. J. 44 (1997), no. 1, 139147.
Dyak-zeit-add [172]
and
spaces of holomorphic functions,
functions in Lipschitz spaces,
spaces and outer functions,
Michigan
Michigan Math. J. 45 (1998), no. 1,
and BMOA,
J. London Math. Soc., II. Ser.
, Holomorphic functions and quasiconformal mappings with smooth modAdv. Math. 187 (2004), no. 1, 146172. , Addendum to Strong HardyLittlewood theorems for analytic functions Math. Zeit. 254 (2006), no. 2, 433437.
and mappings of nite distortion ,
dyakonov-fenn [173] K. M. Dyakonov,
Functions in Bloch-type spaces and their moduli,
Sci. Fenn., Math. 41 (2016), no. 2, 705712.
arkovic-melent [174]
its containing
Algebra i Analiz 4 (1992), no. 5, 117147 (Russian).
konov-Michigan [168]
Dyak-advances [171]
Hp
0 < p < 1, J. Reine Angew. Math. 238 (1969), 3260.
ren-containing [164] P. L. Duren and A. L. Shields, Duren-sh [165]
Linear functionals on
(2018).
,
Ann. Acad.
On the Riesz projection and HollenbeckVerbitsky conjecture,
preprint
sobolev-pseudo [175] E. M. Dyn'kin, A constructive characterization of the Sobolev and Besov classes,
Proc. Steklov Inst. Math. 155 (1983), 3974.
dynkin-j.anal [176]
,
The pseudoanalytic extension,
J. Anal. Math. 60 (1993), 4570.
keogh [177] P. J. Eenigenburg and F. R. Keogh, The Hardy class of some univalent functions and their derivatives,
Mich. Math. J. 17 (1970), 335346.
hlet-invariant [178] O. El-Fallah, K. Kellay, and T. Ransford, let space,
Invariant subspaces of the Dirich-
Hilbert Spaces of Analytic Functions, CRM Proc. Lecture Notes 51 (2010), 133141.
517
Bibliography etter [179] D. O. jun. Etter,
Vector-valued analytic functions,
119 (1965), 352366.
fatou [180] P. Fatou,
335400.
Séries trigonométriques et séries de Taylor,
Fef-max-vector [181] C. Feerman and E. M. Stein,
(1971), 107115.
Fef [182]
Trans. Amer. Math. Soc.
, Hp
Some maximal inequalities,
spaces of several variables,
Fejer [183] L. Fejér and F. Riesz,
Acta Math. 30 (1906), Amer. J. Math. 93
Acta Math. 129 (1972), 137193.
Über einige funktionentheoretische Ungleichungen,
Zeit. 11 (1921), 305314.
flett2 [184] T. M. Flett,
On some theorems of Littlewood and Paley,
31 (1956), 336344.
flett-abso [185] flett-some [186] Flett-rate [187] Flett-dual [188] Flett-jmaa [189]
,
Math.
J. London Math. Soc.
On an extension of absolute summability and some theorems of Little-
wood and Paley,
Proc. London Math. Soc., III. Ser. 7 (1957), 113141.
, Some theorems (1957), 211218.
on power series.,
Proc. London Math. Soc., III. Ser. 7
,
On the rate of growth of mean values of of holomorphic and harmonic
,
The dual of an inequality of Hardy and Littlewood and some related
functions,
Proc. London Math. Soc. 20 (1970), no. 3, 749768.
inequalities,
J. Math. Anal. Appl. 38 (1972), 746765.
, Lipschitz spaces of Appl. 39 (1972), 125158.
functions on the circle and the disc,
J. Math. Anal.
Rubio [190] J. García-Cuerva and J. L. Rubio de Francia, Weighted norm inequalities and related topics,
North-Holland Mathematics Studies, vol. 116, North-Holland Publishing Co., Amsterdam, 1985, Notas de Matemática [Mathematical Notes], 104.
Gar [191] J. B. Garnett,
Bounded analytic functions, Pure and Applied Mathematics, vol. 96, Academic Press Inc. [Harcourt Brace Jovanovich Publishers], New York, 1981.
garnett-atomic [192] J. B. Garnett and R. H. Latter, several complex variables,
The atomic decomposition for Hardy spaces in
Duke Math. J. 45 (1978), 815845.
GX [193] P. M. Gauthier and J. Xiao, BiBloch-type
maps: existence and beyond,
Variables, Theory Appl. 47 (2002), no. 8, 667678.
Complex
hink-gehring [194] F. W. Gehring, W. K. Hayman, and A. Hinkkanen, Analytic functions satisfying Hölder conditions on the boundary,
249.
J. Approximation Theory 35 (1982), 243
girela-BMO [195] D. Girela,
Analytic functions of bounded mean oscillation, Complex Function Spaces, Univ. Joensuu Dept. Math. Rep. Ser., vol. 4, Univ. Joensuu, Joensuu, 2001, pp. 61170.
evtic-abstract [196] D. Girela, C. González, and M. Jevti¢, Sobolev spaces,
Inner functions in Lipschitz, Besov, and
Abstr. Appl. Anal. 2011 (2011), 26 p.
518
Bibliography
girela-F-bloch [197] D. Girela, C. González, and J. Á. Peláez, functions in the space of Bloch functions,
no. 5, 13091314.
Multiplication and division by inner
Proc. Amer. Math. Soc. 134 (2006),
irela-division [198] D. Girela, C. González, and J. Á Peláez, inner functions,
Toeplitz operators and division by
Proceedings of the First Advanced Course in Operator Theory and Complex Analysis, Univ. Sevilla Secr. Publ., Seville, 2006, pp. 85103.
girela-hankel [199] D. Girela and N. Merchán, tions,
A Hankel matrix acting on spaces of analytic func-
Integral Equations Oper. Theory 89 (2017), no. 4, 581594.
GPP [200] D. Girela, M. Pavlovi¢, and J. Á. Peláez, Bloch type,
pomm-matsaev [201] D. Gnuschke and Ch. Pommerenke, gaps,
Spaces of analytic functions of Hardy-
J. Anal. Math. 100 (2006), 5381.
On the growth of functions with Hadamard
J. Lond. Math. Soc., II. Ser. 30 (1984), 441450.
gnuschke [202] D. Gnuschke-Hauschild and Ch. Pommerenke, ries,
On Bloch functions and gap se-
J. Reine Angew. Math. 367 (1986), 172186.
godefroy [203] G. Godefroy,
Existence and uniqueness of isometric preduals: a survey, Banach space theory (Iowa City, IA, 1987), Contemp. Math., vol. 85, Amer. Math. Soc., Providence, RI, 1989, pp. 131193.
Gol [204] G. M. Goluzin,
Geometric theory of functions of a complex variable, Translations of Mathematical Monographs, Vol. 26, American Mathematical Society, Providence, R.I., 1969.
pelaez-arc [205] C. González and J. Á. Peláez, the growth of arc-length,
greenwald1 [206] H. C. Greenwald, clidean
greenwald2 [207]
Univalent functions in Hardy spaces in terms of
J. Geom. Anal. 19 (2009), no. 4, 755771.
Lipschitz spaces on the surface of the unit sphere of the eu-
n-space, Pac. J. Math. 50 (1974), no. 1, 6380.
, Lipschitz spaces of distributions on the surface of the n-space, Pac. J. Math. 70 (1977), no. 1, 163176.
unit sphere of the
euclidean
nowak-grig [208] A. Grigoryan and M. Nowak, pings,
Estimates of integral means of harmonic map-
Complex Variables, Theory Appl. 42 (2000), no. 2, 151161.
nicolau-besov [209] J. Gröhn and A. Nicolau,
Inner functions in weak Besov spaces,
266 (2014), no. 6, 36853700.
nicolau-inner [210]
, Inner functions in (2017), no. 6, 24632486.
certain HardySobolev spaces,
ohn2012jointly [211] J. Gröhn, J. Á. Peláez, and J. Rättyä, growth spaces,
J. Funct. Anal. 272
Jointly maximal products in weighted
Ann. Acad. Sci. Fenn., Ser. A I 39 (2014), no. 1, 109118.
erdmann [212] K.-G. Groosse-Erdman, Hardy's inequalities,
Berlin, 1998.
grothendieck [213] A. Grothendieck, topologiques,
J. Funct. Anal.
Blocking technique, weighted mean operators, and
Lecture Notes in Mathematics, vol. 1679, Springer-Verlag,
Résumé de la théorie métrique des produits tensoriels
Bol. Soc. Mat. São Paulo 8 (1956), 179.
519
Bibliography Gur [214] V. I. Gurariy and V. I. Matsaev,
Lacunary power sequences in the spaces
Lp , Amer. Math. Soc., Transl., II. Ser. 72 (1968), 921.
gurarij [215] V. P. Gurariy, integrals,
C
and
Factorization of absolutely convergent Taylor series and Fourier
J. Sov. Math. 4(1975) (1976), 313328.
Gwilliam [216] A. E. Gwilliam,
353364.
Haagerup [217] U. Haagerup,
On Lipschitz conditions,
Proc. London Math. Soc. 40 (1935),
The best constants in the Khintchine inequality,
(1981), no. 3, 231283.
bergman-hahn [218] K. T. Hahn,
Studia Math. 70
Minimum problems of Plateau type in the Bergman metric space,
Pac. J. Math. 14 (1964), 943955.
tent-vector [219] E. Harboure, J. L. Torrea, and B. E. Viviani, spaces,
J. Anal. Math. 56 (1991), 125140.
Har [220] G. H. Hardy,
A vector-valued approach to tent
The mean value of the modulus of an analytic function,
M. S. Proc. 14 (1915), no. 2, 269277.
HL-lacunary [221] G. H. Hardy and J. E. Littlewood, theorem,
-fourier-const [222] HL-criterion [223]
HL-fractional1 [224] HL-max [225]
fourier-const2 [226]
HL-fractional2 [229] HL-ces [230] HL-Paley [231]
HL-multipliers [232]
A further note on the converse of Abel's
Proc. London Math. Soc. (2) 25 (1926), 219236.
, Some new properties of Fourier constants, Math. Ann. 97 (1927), no. 1, 159209. ,A 612634.
convergence criterion for Fourier series,
, Some 565606.
properties of fractional integrals. I,
Math. Zeit. (1928), no. 28,
Math. Zeit. 27 (1928), no. 1,
,
A maximal theorem with function-theoretic applications,
,
Notes on the theory of series. XIII: Some new properties of Fourier
54 (1930), 81116. constants,
HL-Parseval [227] HL-conjugate [228]
London
Acta Math.
J. London Math. Soc. 6 (1931), 39.
, Some new cases of Parseval's theorem, Math. Zeit. 34 (1932), 620633. , Some properties (1932), 405423. , Some 403439.
of conjugate functions,
properties of fractional integrals. II,
, Theorems concerning S. (2) 36 (1934), 516530. Paley,
J. Reine Angew. Math. 167 Math. Zeit. 34 (1932), no. 1,
Cesàro means of power series,
Proceedings L. M.
, Notes on the theory of series. XXI: Generalizations Q. J. Math., Oxf. Ser. 8 (1937), 161171.
, Theorems concerning mean values of analytic Quart. J. Math., Oxford Ser. 12 (1941), 221256.
HR [233] G. H. Hardy and W. W. Rogosinski, Fourier
of a theorem of
or harmonic functions,
Series, Cambridge Tracts in Mathematics and Mathematical Physics, no. 38, Cambridge University Press, 1944.
520
Bibliography
Harnack [234] A. Harnack, Raume,
Existenzbeweise zur Theorie des Potentiales in der Ebene und im
Leipz. Ber. (1886), 144169.
verse-carleson [235] A. Hartmann, X. Massaneda, A. Nicolau, and J. Ortega-Cerdà, leson measures in Hardy spaces,
hastings [236] W. W. Hastings, A
Carleson measure theorem for Bergman spaces,
Math. Soc. 52 (1975), 237241.
haus-young [237] F. Hausdor,
Reverse Car-
Collect. Math. 65 (2014), no. 3, 357365.
Proc. Amer.
Eine Ausdehnung des Parsevalschen Satzes über Fourierreihen,
Math. Zeit. 16 (1923), 163169.
BS-haus [238]
,
Zur Theorie der linearen metrischen Räume,
167 (1932), 294311.
havin-division [239] V. P. Havin, boundary,
J. Reine Angew. Math.
The factorization of analytic functions that are smooth up to the
Zap. Nau£n. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 22 (1971), 202205.
havin-sham [240] V. P. Havin and F. A. Shamoyan, ulus of the boundary values,
Analytic functions with a Lipschitzian mod-
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 19 (1970), 237230.
Hej [241] W. K. Hayman and P. B. Kennedy,
Subharmonic functions. Vol. I, London Mathematical Society Monographs, No. 9, Academic Press [Harcourt Brace Jovanovich Publishers], London, 1976.
edenmalm-bloch [242] H. Hedenmalm,
(2017), 947990.
Bloch functions and asymptotic tail variance,
Heden [243] H. Hedenmalm, B. Korenblum, and K. Zhu,
Adv. Math. 313
Theory of Bergman spaces,
uate Texts in Mathematics, vol. 199, Springer-Verlag, New York, 2000.
Heinz [244] E. Heinz,
On one-to-one harmonic mappings,
Grad-
Pac. J. Math. 9 (1959), 101105.
BS-elem [245] J. Hennefeld, A nontopological proof of the uniform boundedness theorem, Amer.
Math. Monthly 87 (1980), no. 3, 217217.
Herglotz [246] G. Herglotz,
Über Potenzreihen mit positivem, reellem Teil im Einheitskreis.,
Leipz. Ber. 63 (1911), 501511.
herve [247] M. Hervé, Analytic sional spaces,
and plurisubharmonic functions in nite and in nite dimen-
Course given at the University of Maryland, College Park, Md., Spring 1970, Lecture Notes in Mathematics, Vol. 198, Springer-Verlag, Berlin, 1971.
hinkkanen-disk [248] A. Hinkkanen, functions,
hink [249]
anen-compl-var [250]
The sharp form of certain majorization theorems for analytic
Complex Variables, Theory Appl. 12 (1989), no. 1-4, 3966.
, Majorization of the modulus of continuity of analytic put. Methods Funct. Theory 8 (2008), no. 2, 303325. , Growth conditions for analytic functions in plex Var. Elliptic Equ. 56 (2011), no. 1-4, 5980.
functions,
Com-
unbounded open sets,
Com-
521
Bibliography brasil-atomic [251] G. Hoepfner and J. Hounie,
Atomic decomposition of holomorphic Hardy spaces
S1 and applications, Lecture Notes of Seminario Interdisciplinare di Matematica 7, Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica e Informatica, 2008, pp. 189206. in
Hoffmann-J [252] J. Homann-Jørgensen, Sums ables,
of independent Banach space valued random vari-
Studia Math. 52 (1974), 159186.
holland-area [253] F. Holland and J. B. Twomey,
On Hardy classes and the area function,
Math. Soc., II. Ser. 17 (1978), 275283.
olland-example [254]
,
BMOA,
Explicit examples of Bloch functions in every
holland [255] F. Holland and D. Walsh, space
Hp
Proc. Amer. Math. Soc. 95 (1985), 227229.
J. Lond.
space, but not in
Criteria for membership of Bloch space and its sub-
BMOA, Math. Ann. 273 (1986), 317335.
Verbitsky [256] B. Hollenbeck and I. E. Verbitsky,
Best constants for the Riesz projection,
Funct. Anal. 175 (2000), no. 2, 370392.
verbitsky-conf [257] B. Hollenbeck and I. E. Verbitsky, lytic and co-analytic projection,
J.
Best constant inequalities involving the ana-
Topics in operator theory. Volume 1: Operators, matrices and analytic functions. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 2226, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday, Basel: Birkhäuser, 2010, pp. 285295.
Her [258] L. Hörmander,
Notions of convexity, Progress in Mathematics, vol. 127, Birkhäuser Boston Inc., Boston, MA, 1994.
huber [259] A. Huber, curvature,
huber-fejer [260]
587.
,
On the isoperimetric inequality on surfaces of variable Gaussian
Ann. Math. (2) 60 (1954), 237247.
On an inequality of Fejér and Riesz,
Ann. Math. (2) 63 (1956), 572
Hunt [261] R. A. Hunt,
On the convergence of Fourier series, Orthogonal Expansions and their Continuous Analogues (Proc. Conf., Edwardsville, Ill., 1967), Southern Illinois Univ. Press, Carbondale, Ill., 1968, pp. 235255.
iwaniec-martin [262] T. Iwaniec, G. J. Martin, and J. Onninen, On minimisers of Lp -mean distortion,
Comput. Methods Funct. Theory 14 (2014), no. 2-3, 399416.
jackson-thesis [263] D. Jackson,
Über die Genauigkeit der Annäheurung stetiger Funktionen durch
ganze rationale Funktionen,
jackson [264]
Ph.D. thesis, Götingen, 1911.
, On approximation by trigonometric Amer. Math. Soc. 13 (1912), 491515.
sums and polynomials,
Trans.
janson [265] S. Janson,
Generalizations of Lipschitz spaces and an application to Hardy spa-
jevtic-bmoa [266] M. Jevti¢,
On the Carleson measure characterization of BMO functions on the
ces and bounded mean oscillation, unit sphere,
Duke Math. J. 47 (1980), 959982.
Proc. Amer. Math. Soc. 114 (1992), no. 2, 379386.
JPmult [267] M. Jevti¢ and M. Pavlovi¢,
On multipliers from
Math. (Basel) 56 (1991), no. 2, 174180.
Hp
to
lq , 0 < q < p < 1, Arch.
522 JP-solid [268] lip-jev-pav [269]
Bibliography , On the solid hull J. 54 (2006), 439446.
of the Hardy space
H p , 0 < p < 1, Michigan Math.
, BesovLipschitz and mean BesovLipschitz spaces of holomorphic funcPotential Anal. 38 (2013), no. 4, 11871206.
tions on the unit ball,
ars-book [270] M. Jevti¢, D. Vukoti¢, and M. Arsenovi¢,
Taylor coe cients and coe cient
multipliers of Hardy and Bergman-type spaces,
nirenberg [271] F. John and L. Nirenberg,
Cham: Springer, 2016.
On functions of bounded mean oscillation,
Pure Appl. Math. 14 (1961), 415426.
jones [272] P. W. Jones,
4166.
jones1 [273]
Extension theorems for BMO,
, L∞ estimates for the ∂¯ no. 1-2, 137152.
Mejlbro [274] O. G. Jørsboe and L. Mejlbro,
Commun.
Indiana Univ. Math. J. 29 (1980),
problem in a half-plane,
Acta Math. 150 (1983),
The CarlesonHunt theorem on Fourier series,
Lecture Notes in Mathematics, vol. 911, Springer-Verlag, Berlin, 1982.
ne-best-approx [275] J.-P. Kahane,
788804.
kahane [276]
Best approximation in
L1 (T ), Bull. Amer. Math. Soc. 80 (1974),
, Some random series of functions, second ed., Cambridge Studies in Advanced Mathematics, vol. 5, Cambridge University Press, Cambridge, 1985.
kalaj-riesz [277] D. Kalaj,
On Riesz type inequalities for harmonic mappings on the unit disk,
Trans. Amer. Math. Soc., to appear.
kalaj-publ [278] kalaj-mz [279]
, Quasiconformal harmonic functions Inst. Math., Nouv. Sér. 76(90) (2004), 320. , Quasiconformal and harmonic Math. Z. 260 (2008), no. 2, 237252.
kalaj-convex [280] D. Kalaj,
between convex domains,
Publ.
mappings between Jordan domains,
Quasiconformal harmonic mappings and close-to-convex domains,
Filomat 24 (2010), no. 1, 6368.
kalaj-dini [281]
mains,
, Quasiconformal harmonic mappings between Pac. J. Math. 276 (2015), no. 1, 213228.
kalaj-sharp [282] D. Kalaj,
Dini-smooth Jordan do-
A sharp inequality for harmonic dieomorphisms of the unit disk,
Geom. Anal. (2018), https://doi.org/10.1007/s12220-018-9996-3.
laj-positivity [283] D. Kalaj and M. Markovi¢, unit ball,
Optimal estimates for harmonic functions in the
Positivity 16 (2012), no. 4, 771782.
kalaj-markovic [284] D. Kalaj and M. Markovi¢,
(2014), no. 1, 143160.
Norm of the Bergman projection,
kalmat [285] D. Kalaj and M. Mateljevi¢, Inner between smooth domains,
Math. Scand. 115
estimate and quasiconformal harmonic maps
J. Anal. Math. 100 (2006), 117132.
kal-trans [286] D. Kalaj and M. Pavlovi¢,
On quasiconformal self-mappings of the unit disk
satisfying Poisson's equation,
4061.
J.
Trans. Amer. Math. Soc. 363 (2011), no. 8, 4043
523
Bibliography kalaj-saksman [287] D. Kalaj and E. Saksman,
Quasiconformal maps with controlled Laplacian,
Anal. Math. (2018), to appear.
kalaj-v [288] D. Kalaj and M. Vuorinen,
J.
On harmonic functions and the Schwarz lemma,
Proc. Amer. Math. Soc. 140 (2012), no. 1, 161165.
Kal1 [289] N. J. Kalton,
Linear operators on
259 (1980), 319355.
Kal [290] Kal2 [291]
alton-harmonic [292]
Lp
for
0 < p < 1, Trans. Amer. Math. Soc.
, Analytic functions in non-locally convex spaces and applications, Studia Math. 83 (1985), 275303. , Plurisubharmonic (1986), 297324.
functions on quasi-Banach spaces,
, Harmonic functions (1989), no. 6, 538549.
in non-locally convex spaces,
Studia Math. 84 Arch. Math. 50
KPR [293] N. J. Kalton, N. T. Peck, and J. W. Roberts,
An F -space sampler, London Mathematical Society Lecture Note Series, vol. 89, Cambridge University Press, Cambridge, 1984.
Kar1 [294] J. Karamata,
Über die HardyLittlewoodschen Umkehrungen des Abelschen
Stetigkeitssatzes,
Kar3 [295]
,
Math. Zeit. 32 (1930), 319320.
Neuer Beweis und Verallgemeinerung der Tauberschen Sätze, welche
die Laplacesche und Stieltjessche Transformation betreen,
2739.
Katz [296] Y. Katznelson,
An introduction to harmonic analysis,
New York, 1976.
onnusamy-riesz [297] I. R. Kayumov, S. Ponnusamy, and A. S. Kaliraj, harmonic functions,
kellogg [298] C. N. Kellogg,
Dover Publications Inc.,
RieszFejér inequalities for
Potential Anal. (2018), 9 pp., to appear.
An extension of the Hausdor-Young theorem,
J. 18 (1971), 121127.
Khintchine [299] A. Khintchine,
J. f. M. 164 (1931),
Über dyadische Brüche,
Math. Zeit. 18 (1923), 109116.
KhKol [300] J. Khintchine and A. N. Kolmogorov,
Über Konvergenz von Reihen deren
Glieder durch den Zufall bestimmt werden,
kim-inner [301] H. O. Kim, Derivatives
175190.
Mat. Sbornik 32 (1925), 123138.
of Blaschke products,
kwon-kim [302] H. O. Kim and E. G. Kwon,
Michigan Math.
Paci c J. Math. 114 (1984), no. 1,
Weighted subspaces of Hardy spaces,
Math. 40 (1988), no. 5, 10741083.
kwon-radial [303] P. L. Kim, E. G. Kwon, and J. H. Park,
Canad. J.
On a Besov space and radial limits,
Comm. Korean Math. Soc. 24 (2009), no. 4, 561564.
kislyakov [304] S. V. Kislyakov,
slyakov-survey [305]
Fourier coe cients of boundary values of analytic functions on
the disc and the bidisc,
Trudy Mat. Inst. Steklov 155 (1981), 7791.
, Interpolation of H p -spaces: Some recent developments, Ramat Gan: Bar-Ilan University/distr. by the American Mathematical Society, 1999.
524
Bibliography
isliakov-trans [306] S. V. Kislyakov and Q. Xu, spaces,
Xu [307]
Interpolation of weighted and vectorvalued Hardy
Trans. Amer. Math. Soc. 343 (1994), no. 1, 134.
, Real interpolation (1996), no. 4, 593615.
knese [308] G. Knese,
and singular integrals,
St. Petersbg. Math. J. 8
Uchiyama's lemma and the John-Nirenberg inequality,
Math. Soc. 45 (2013), no. 4, 683692.
Bull. Lond.
Kneser [309] H. Kneser, Lösung der Aufgabe 41, Jahresber. Deutsch. Math. Verein. 35 (1926),
123124.
kovalev [310] N.-T. Koh and L. V. Kovalev, of the disk,
kol-har [311] A. Kolmogoro, Fourier,
Kol2 [312]
Area contraction for harmonic automorphisms
Bull. London Math. Soc. 43 (2011), no. 1, 9196.
Sur les fonctions harmoniques conjuguées et les séries de
Fund. Math. 7 (1925), 2429 (French).
, Une 13271328.
série de Fourier-Lebesgue divergente partout,
kolomoitsev [313] S. Y. Kolomoitsev,
K -functionals J. Math. Sci. 181 (2012), no. 1, 7897.
On moduli of smoothness and
order in the Hardy spaces,
Kon [314] S. V. Konyagin,
C. R. 183 (1926), of fractional
On everywhere divergence of trigonometric Fourier series,
Math. 191 (2000), no. 1, 97120.
Sb.
Koo [315] P. Koosis,
Introduction to Hp spaces, Cambridge Tracts in Mathematics, vol. 115, Cambridge University Press, Cambridge, 1998.
korenblum [316] B. Korenblum,
A certain extremal property of outer functions,
10 (1971), no. 1, 5356 (Russian).
korenblum-bmo [317]
, BMO estimates and radial Soc., New Ser. 12 (1985), 99102.
koskela [318] P. Koskela and S. Benedict, pings,
Bull. Am. Math.
Intrinsic HardyOrlicz spaces of conformal map-
Bull. Lond. Math. Soc. 47 (2015), no. 1, 7584.
krantz-s [319] S. G. Krantz and S. Stevi¢, ball,
growth of Bloch functions,
Mat. Zametki
On the iterated logarithmic Bloch space on the unit
Nonlinear Anal., Theory Methods Appl. 71 (2009), no. 5-6, A, 17721795.
Krasno [320] M.A. Krasnosel'ski and Ja.B. Ruticki,
Convex functions and Orlicz spaces, Translated from the rst Russian edition by Leo F. Boron, P. Noordho Ltd., Groningen, 1961.
rotov1997exact [321] V. G. Krotov,
An exact estimate of the boundary behavior of functions from
HardySobolev classes in the critical case,
448.
p
Kuran [322] Ü. Kuran, Subharmonic behaviour of |h|
Soc., II. Ser. 8 (1974), 529538.
kwon-hs [323] E. G. Kwon,
no. 1, 9799.
kwon-g-hyper [324]
Math. Notes 62 (1997), no. 4, 439
(p
On the Hardy-Stein identity,
> 0, h harmonic), J. London Math.
Comm. Korean Math. Soc. 6 (1991),
, Composition of Blochs with bounded Math. Soc. 124 (1996), no. 5, 14731480.
analytic functions,
Proc. Amer.
525
Bibliography kwon-ball [325]
won-hyperbolic [326] Kwon-quant [327]
, Hyperbolic mean growth of bounded holomorphic Trans. Amer. Math. Soc. 355 (2003), no. 3, 12691294. , Hyperbolic g -function and Appl. 309 (2005), no. 2, 626637.
functions in the ball,
Bloch pullback operators,
, Quantities equivalent to the norm of Math. Anal. Appl. 338 (2008), no. 2, 758770.
J. Math. Anal.
a weighted Bergman space,
lip-kwon-prvi [328] E. G. Kwon, H. W. Koo, and H. R. Cho, Holomorphic
J.
functions satisfying mean
Lipschitz condition in the ball,
J. Korean Math. Soc. 44 (2007), no. 4, 931940.
kwon-pav [329] E. G. Kwon and M. Pavlovi¢,
Bibloch functions an composition operators from
Bloch type spaces to BMOA,
s-bmoa-laitila [330] J. Laitila, Weighted
J. Math. Anal. Appl. 382 (2011), no. 1, 303313.
composition operators on BMOA,
Theory 9 (2009), no. 1, 2746.
Comput. Methods Funct.
ila2013compact [331] J. Laitila, P. J. Nieminen, E. Saksman, and H. O. Tylli,
Compact and weakly
compact composition operators on BMOA,
Compl. Anal. Oper. Th. (2013), 163
bartosz [332] B. anucha, M. Nowak, and M. Pavlovi¢,
Hilbert matrix operator on spaces of
181.
analytic functions,
Ann. Acad. Sci. Fenn., Math. 37 (2012), no. 1, 161174.
lef-orlicz [333] P. Lefèvre, D. Li, H. Queélec, and L. Rodríguez-Piazza, Composition on HardyOrlicz spaces,
lef [334]
Mem. Am. Math. Soc. 974 (2010), iv + 74.
, Nevanlinna counting function and Math. Ann. 351 (2011), no. 2, 305326.
Carleson function of analytic maps,
lefevre [335] P. Lefèvre, D. Li, H. Queélec, and L. Rodríguez Piazza, about composition operators on Hardy spaces,
no. 1, 5776.
vre-absolutely [336] P. Lefèvre and L. Rodríguez-Piazza, on Hardy spaces,
operators
Some revisited results
Rev. Mat. Iberoam. 28 (2012),
Absolutely summing Carleson embeddings
Adv. Math. 340 (2018), 528587.
lehto-virt [337] O. Lehto and K. I. Virtanen,
Quasiconformal mappings in the plane. Translated
from the German by K. W. Lucas. 2nd ed.,
Die Grundlehren der mathematischen Wissenschaften. Band 126. Berlin-Heidelberg-New York: Springer-Verlag. VIII, 258 p. with 15 g. DM 67.50; $ 27.70 (1973)., 1973.
leng-rocky [338] M. Leng eld,
A nested embedding theorem for HardyLorentz spaces with appli-
cations to coe cient multiplier problems,
12151251.
Lew [339] H. Lewy,
Rocky Mt. J. Math. 38 (2008), no. 4,
On the non-vanishing of the Jacobian in certain one-to-one mappings,
Bull. Amer. Math. Soc. 42 (1936), 689692.
li-luecking [340] H. Li and D. H. Luecking, BM O operators, duality and
661691.
Lin [341] J. Lindenstrauss,
153156.
on strongly pseudoconvex domains: Hankel
∂¯ -estimates, Trans. Amer. Math. Soc. 346 (1994), no. 2,
On complemented subspaces of
m, Isr. J. Math. 5 (1967),
526
Bibliography
LPe [342] J. Lindenstrauss and A. Peªczy«ski, Banach spaces,
Contributions to the theory of the classical
J. Funct. Anal. 8 (1971), 225249.
LT [343] J. Lindenstrauss and L. Tzafriri, On
J. Math. 9 (1971), 263269.
the complemented subspaces problem,
Israel
LT1 [344]
, Classical Banach spaces, Lecture Notes in Mathematics, Vol. 338, Springer-Verlag, Berlin, 1973.
LT2 [345]
, Classical Banach spaces. I, Sequence spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 92, Springer-Verlag, Berlin, 1977.
LT3 [346]
, Classical Banach spaces. II, Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], vol. 97, SpringerVerlag, Berlin, 1979, Function spaces.
sanatpour [347] M. Lindström and A. H. Sanatpour,
Derivative-free characterizations of com-
pact generalized composition operators between Zygmund type spaces,
Math. Soc. 81 (2010), no. 3, 398408. Litt [348] J. E. Littlewood,
The converse on Abel's theorem of power series,
S. Proc. 9 (1911), 434448.
littl-subord [349] J. E. Littlewood,
On inequalities in the theory of functions,
Soc. (2) 23 (1925), vix + 481519.
lit-pal [350] J. E. Littlewood and R. E. A. C. Paley, series. I,
lit-pal2 [351]
Bull. Aust.
London M.
Proc. Lond. Math.
Theorems on Fourier series and power
J. London Math. Soc. 6 (1931), 230233.
, Theorems on Fourier Soc. 42 (1937), 5289.
perala-poly [352] C. Liu, A. Perälä, and J. Si,
series and power series. II,
Weighted integrability of polyharmonic functions
in the higher dimensional case,
arXiv preprint arXiv:1807.03276 (2018).
izorkin-nikolj [353] P. I. Lizorkin and S. M. Nikol'ski, the continuous functions,
ecking-forelli [354] D. H. Luecking,
Proc. London Math.
Approximation on a sphere in the metric of
Sov. Math., Dokl. 28 (1983), 407410 (English).
Multipliers of Bergman spaces into Lebesgue spaces,
inb. Math. Soc., II. Ser. 29 (1986), 125131.
lueck-trace [355] D. H. Luecking,
(1987), 345368.
Lue [356] D. H. Luecking,
Trace ideal criteria for Toeplitz operators,
J. Funct. Anal. 73
A new proof of an inequality of Littlewood and Paley,
Amer. Math. Soc. 103 (1988), no. 3, 887893.
lueck-embed [357] D. H. Luecking,
Proc. Ed-
Proc.
Embedding derivatives of Hardy spaces into Lebesgue spaces,
Proc. Lond. Math. Soc. (3) 63 (1991), no. 3, 595619.
lusin-area [358] N. Lusin, Sur une propríeté des fonctions a carré sommble, Bull. Calcutta Math.
Soc. 20 (1930), 139154.
lusky [359] W. Lusky,
7795.
On generalized Bergman spaces,
Studia Math. 119 (1996), no. 1,
527
Bibliography
lusky-carolina [360]
,
On the isomorphic classi cation of weighted spaces of holomorphic
functions,
60.
Acta Univ. Carolinae. Mathematica et Physica 41 (2000), no. 2, 51
cluer1 [361] B. D. MacCluer,
Compact composition operators on
32 (1985), 237248.
zhu-multiplier [362] T. MacGregor and K. Zhu, spaces,
H p (BN ), Mich. Math. J.
Coe cient multipliers between Bergman and Hardy
Mathematika 42 (1995), no. 2, 413426.
MacGregor [363] T. H. MacGregor and M. P. Sterner,
Hadamard products with power functions
and multipliers of Hardy spaces,
J. Math. Anal. Appl. 282 (2003), no. 1, 163
gan1995compact [364] K. Madigan and A. Matheson,
Compact composition operators on the Bloch
176.
space,
Trans. Amer. Math. Soc 347 (1995), no. 7, 26792687.
madigan [365] K. M. Madigan,
Composition operators on analytic Lipschitz spaces,
Amer. Math. Soc. 119 (1993), 465473.
makarov1 [366] N. G. Makarov,
Proc.
On the distortion of boundary sets under conformal mappings,
Proc. Lond. Math. Soc. (3) 51 (1985), 369384.
makarov [367] N. G. Makarov,
On the radial behavior of Bloch functions,
40 (1990), no. 3, 505508 (English. Russian original).
marc [368] J. Marcinkiewicz,
Sur l'interpolation d'opérations,
(1939), 12721273.
zyg-marc2 [369] J. Marcinkiewicz and A. Zygmund,
(1938), 473485.
ovic-halfplane [370] M. Markovi¢,
Sov. Math., Dokl.
C. R. Acad. Sci., Paris 208
On a theorem of Lusin,
On harmonic functions and the hyperbolic metric,
New Ser. 26 (2015), no. 1, 1923.
marijan [371] M. Markovi¢,
trolled growth,
Mar [372] O. Martio,
Duke Math. J. 4 Indag. Math.,
Dierential-free characterisation of smooth mappings with con-
Canad. Math. Bull. 61 (2018), no. 3, 628636.
On harmonic quasiconformal mappings,
A I 425 (1968), 310.
Ann. Acad. Sci. Fenn., Ser.
mashr [373] J. Mashreghi,
Derivatives of inner functions, Springer Science & Business Media, 2012, Fields Institute Monographs, vol. 31.
mastylo [374] M. Mastyªo and P. Mleczko, functions and interpolation,
Solid hulls of quasi-Banach spaces of analytic
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73 (2010), no. 1, 8498.
mateljevic [375] M. Mateljevi¢,
Distortion of quasiregular mappings and equivalent norms on
Lipschitz-type spaces,
895074, 20 pages.
Abstr. Appl. Anal., vol. 2014, Hindawi, 2014, Article ID
MP82 [376] M. Mateljevi¢ and M. Pavlovi¢, An extension of the HardyLittlewood inequality,
Mat. Vesnik 6(19)(34) (1982), no. 1, 5561.
MP92 [377]
, On the integral means of derivatives Amer. Math. Soc. 86 (1982), 455458.
of the atomic function,
Proc.
528 MP831 [378] stu [379] MP-vesnik [380]
Bibliography , Lp -behavior of power series with positive coe cients Proc. Amer. Math. Soc. 87 (1983), no. 2, 309316. , Lp behaviour 77 (1984), 219237.
MPiz [382] edinb [383] MP95 [384]
of the integral means of analytic functions,
Some inequalities of isoperimetric type for the integral means of ana-
,
Multipliers of
Mat. Vesnik 37 (1985), 7880.
Hp
and BMOA,
Pac. J. Math. 146 (1990), no. 1, 7184.
, Some inequalities of isoperimetric type concerning analytic and subharPubl. Inst. Math. (Beograd) (N.S.) 50(64) (1991), 123130.
monic functions,
, An extension of the ForelliRudin projection Math. Soc., II. Ser. 36 (1993), no. 3, 375389. , The best approximation and Math. J. 42 (1995), no. 2, 367378.
maurey [385] B. Maurey,
Proc. Edinb.
composition with inner functions,
Mich.
Lp , vol. 11, Société Math. de France, 1974.
Gehee [386] O. C. McGehee, L. Pigno, and B. Smith, of exponential sums,
petar-dok [387] P. Melentijevi¢,
L1
norm
Estimates of gradients and operator norm estimates in har-
pp. vii+123.
petar-fenn [388] P. Melentijevi¢,
Hardy's inequality and the
Ann. Math. 113 (1981), 613618.
monic function theory,
equalities,
theorem,
Théoremes de factorisation pour les operatèurs linéaires à valeurs
dans les espaces
tar-fenn-bloch [389]
Studia Math.
,
lytic functions,
MP90 [381]
and Hardy spaces,
Ph.D. thesis, University of Belgrade, 2018, In Serbian,
Invariant gradient in re nements of Schwarz and Harnack in-
Ann. Acad. Sci. Fenn., Math. 43 (2018), no. 1, 391399.
, Norm of the Bergman projection onto the Bloch space with M-invariant Ann. Acad. Sci. Fenn., Math. (2018), to appear.
gradient norm,
rocki-envelope [390] A. Michalak and M. Nawrocki,
Banach envelopes of vector valued
Indag. Math., New Ser. 13 (2002), no. 2, 185195.
o-compact-mult [391] P. Mleczko,
Compact multipliers on spaces of analytic functions,
92 (2009), no. 4, 325334.
al-norm-montes [392] A. Montes-Rodríguez, spaces,
spaces,
Arch. Math.
The essential norm of a composition operator on Bloch
Paci c J. Math. 188 (1999), no. 2, 339351.
mori-q [393] A. Mori,
On an absolute constant in the theory of quasiconformal mappings,
Math. Soc. Japan 8 (1956), 156166.
morrey+ [394] C. B. Morrey, tions,
Hp
J.
On the solutions of quasi-linear elliptic partial dierential equa-
Trans. Amer. Math. Soc. 43 (1938), no. 1, 126166.
muramatu [395] T. Muramatu, On
no. 1, 123140.
musielak [396] J. Musielak,
the dual of Besov spaces,
Publ. RIMS Kyoto Univ. 12 (1976),
Orlicz spaces and modular spaces,
Springer-Verlag, Berlin, 1983.
Lect. Notes Math., vol. 1034,
529
Bibliography
udin-dirichlet [397] A. Nagel, W. Rudin, and J. H. Shapiro, tions in Dirichlet-type spaces,
nawrocki-sam [398] M. Nawrocki,
Duals of vector-valued
New Ser. 2 (1991), no. 2, 233241.
nawrockisolid [399]
Tangential boundary behavior of func-
Ann. Math. (2) 116 (1982), 331360.
H p -spaces
, On the solid hull of the Nevanlinna Sci. Fenn. Math 39 (2014), 897904.
61nonexistence [400] D. J. Newman,
for
0 < p < 1, Indag. Math.,
and Smirnov classes,
l1
The nonexistence of projections from
Math. Soc 12 (1961), 9899.
uvarov [401] A. F. Nikiforov and V. B. Uvarov,
to
Ann. Acad.
h1 , Proc. Amer.
Special functions of mathematical physics.
Transl. from the Russian by Ralph P. Boas, Basel-Boston: Birkhäuser. XVIII, 427 p., 1988. A uni ed introduction with applications,
Nik [402] E. M. Nikishin,
Resonance theorems and superlinear operators,
Surv. 25 (1970), no. 6, 125187.
Nik2 [403]
, A resonance theorem and series Math. USSR Izvestija 6 (1972), 788806.
nikoljski [404] S. M. Nikol'ski, theorems,
Russ. Math.
of eigenfunctions of the Laplacian,
Approximation of functions of several variables and imbedding
Springer-Verlag, New York, 1975, Translated from the Russian by John M. Danskin, Jr., Die Grundlehren der Mathematischen Wissenschaften, Band 205.
ikolj-lizorkin [405] S. M. Nikol'ski and P. I. Lizorkin, approximation theory,
Functional spaces on the sphere, related with
Math. Notes 41 (1987), 286291.
Nolder-Oberlin [406] C. A. Nolder and D. M. Oberlin, theorem,
Moduli of continuity and a HardyLittlewood
Complex analysis, Joensuu 1987, Lecture Notes in Math., vol. 1351, Springer, Berlin, 1988, pp. 265272.
Nowak-mult [407] M. Nowak,
(H p , B) and (H p , BMOA), Topics in complex analysis (Warsaw, 1992), Banach Center Publ., vol. 31, Polish Acad. Sci., Warsaw, 1995, pp. 299302.
nowak-h12 [408] M. Nowak,
A note on coe cient multipliers
Integral means of univalent harmonic maps,
Curie-Skªodowska, Sect. A 50 (1996), 155162.
ortega-mathz [409] J. M. Ortega and J. Fàbrega, Pointwise in analytic Besov spaces,
Osw [410] P. Oswald, disc,
multipliers and decomposition theorems
Math. Z. 235 (2000), no. 1, 5381.
On BesovHardySobolev spaces of analytic functions in the unit
Czech. Math. J. 33 (1983), 408426.
rii-ho [411] C. Ouyang and J. Riihentaus, Characterizations Orlicz spaces,
Math. Scand. 80 (1997), 2540.
Paley-orth [412] R. E. A. C. Paley,
Paley-lacunary [413]
Ann. Univ. Mariae
(1931), 226245. , 615616.
of HardyOrlicz and Bergman
Some theorems on orthogonal functions,
On the lacunary co cients of power series,
Studia Math. 3
Ann. Math. 34 (1933),
530
Bibliography
par-sak1 [414] D. Partyka and K. Sakan, on the boundary,
171.
par-sak2 [415]
Harmonic and quasiconformal mappings which agree
Ann. Univ. Mariae Curie-Skªodowska, Sect. A 49 (1995), 159
, A note on non-quasiconformal harmonic extensions., Bull. Soc. Sci. Lett. ód¹, Sér. Rech. Déform. 47(23) (1997), 5163.
au-integration [416] J. Pau,
Integration operators between Hardy spaces on the unit ball of
Funct. Anal. 270 (2016), no. 1, 134176.
Cn , J.
collection [417] M. Pavlovi¢,
A collection of unpublished articles, https://www.researchgate.net (1) KelvinMöbius transform of polyharmonic functions, (2) A Möbius invariant space of polyharmonic functions on R2n , (3) Invariant Besov spaces. Taylor coe cients and applications.
Dis [418] M. Pavlovi¢,
Geometry of complex Banach spaces,
Mathematics, Belgrade, 1983, In Serbian.
mixed1 [419]
, Mixed norm spaces of analytic and harmonic functions. I, Publ. Inst. Math. (Beograd) (N.S.) 40(54) (1986), 117141, II, ibid. 41(55) (1987), 97110.
P881 [420]
, An inequality for the integral means Amer. Math. Soc. 103 (1988), no. 2, 404406.
P882 [421]
, Lipschitz spaces and spaces of harmonic Mich. Math. J. 35 (1988), no. 2, 301311.
pav-compl-var [422] P912 [423] pav-edinb [424] P94 [425]
Ph.D. thesis, Faculty of
, Mean values of harmonic conjugates ables, Theory Appl. 10 (1988), no. 1, 5365.
of a Hadamard product,
functions in the unit disc,
in the unit disc,
, On the moduli of continuity of H p -functions Edinburgh Math. Soc. (2) 35 (1992), no. 1, 89100. , Integral means of the Poisson integral Anal. Appl. 184 (1994), no. 2, 229242.
with
0 < p < 1, Proc.
of a discrete measure,
, On subharmonic behaviour and oscillation of functions Publ. Inst. Math. (Beograd) (N.S.) 55(69) (1994), 1822.
P965 [427]
, A remark on the partial sums in (Beograd) (N.S.) 58(72) (1995), 149152.
P963 [428]
, Subharmonic no. 1-2, 1521.
acta [430]
pav-exp-growth [431]
Complex Vari-
, On the complex uniform convexity of quasi-normed spaces, Math. Balk., New Ser. 5 (1991), no. 2, 9298.
P941 [426]
decomp-polyhar [429]
Proc.
Hardy spaces,
behaviour of smooth functions,
, Decompositions of Lp and Hardy spaces Math. Anal. Appl. 216 (1997), no. 2, 499509. ,
J. Math.
on balls in
Rn ,
Publ. Inst. Math.
Mat. Vesnik 48 (1996),
of polyharmonic functions,
J.
On Dyakonov's paper: Equivalent norms on Lipschitz-type spaces of
holomorphic functions ,
Acta Math. 183 (1999), no. 1, 141143.
, On harmonic conjugates J. 49 (1999), no. 4, 733742.
with exponential mean growth,
Czech. Math.
531
Bibliography P99 [432] Fenn [433] pav-book [434]
, A Littlewood-Paley theorem for subharmonic Math. (Beograd) (N.S.) 68(82) (2000), 7782. ,
functions,
Publ. Inst.
Boundary correspondance under harmonic quasiconformal homeomor-
phisms of the unit disk,
Ann. Acad. Sci. Fenn., Math. 27 (2002), no. 2, 365372.
, Introduction to function spaces on the disk, Posebna Izdanja [Special Editions], vol. 20, Matemati£ki Institut SANU, Belgrade, 2004.
pavlovic-hadam [435] M. Pavlovi¢,
Hadamard product in
no. 2, 589598.
revista [436] M. Pavlovi¢,
Qp
spaces,
J. Math. Anal. Appl. 305 (2005),
Lipschitz conditions on the modulus of a harmonic function,
Mat. Iberoam. 23 (2007), no. 3, 831845.
remarks [437] pav-zeit [438] pav-bull [439]
vic2008holland [440] filomat-green [441] pav-HS [442]
hadam-pavlovic [443]
lovic-lacunary [444] pav-lit-pal [445]
hern-schneider [446] FC [447] pav-india [448]
, Remarks on Lp -oscillation of the modulus J. Math. Anal. Appl. 326 (2007), no. 1, 111.
Rev.
of a holomorphic function,
,
Derivative-free characterizations of bounded composition operators be-
,
Division by inner functions in a class of composition operators on
tween Lipschitz spaces, Lipschitz spaces,
Math. Zeit. 258 (2008), no. 1, 8186.
Bull. London Math. Soc. 40 (2008), no. 2, 199209.
, On the HollandWalsh characterization inb. Math. Soc. 51 (2008), no. 2, 439442. , Green's formula (2009), no. 3, 135153.
of Bloch functions,
and the HardyStein identities,
, HardyStein type characterization tential Anal. 32 (2010), no. 1, 115.
Proc. Ed-
Filomat (Ni²) 23
of harmonic Bergman spaces,
Po-
,
Lacunary series in weighted spaces of analytic functions,
,
Integrability of vector-valued lacunary series with applications to func-
97 (2011), no. 5, 467473. tion spaces,
Ann. Mat. Pura Appl. 192 (2013), no. 5, 745762.
, On the LittlewoodPaley g -function pos. Math. 31 (2013), 169195. , Addendum
and Calderon's area function,
Ex-
to BesovLipschitz and mean BesovLipschitz spaces: the
AhernSchneider inequality,
Potential Anal. 41 (2014), no. 1, 3134.
, Function classes on the unit disc. An in Mathematics, vol. 52, De Gruyter, 2014. ,
Arch. Math.
Hardy-Orlicz spaces:
and univalent functions,
introduction,
De Gruyter Studies
Taylor coe cients, interpolations of operators,
Journal of Mathematical Sciences: Advances and Applications 28 (2014), 114.
pav-dost [449] M. Pavlovi¢ and M. R. Dostani¢, isoperimetric
H 2 (U n ) ⊂ H 2n (Bn ) and inequality, J. Math. Anal. Appl. 226 (1998), no. 1, 143149.
pav-pel-higher [450] M. Pavlovi¢ and J. Á. Peláez, analytic functions,
On the inclusion
the
Weighted integrals of higher order derivatives of
Acta Sci. Math. (Szeged) 72 (2006), no. 1-2, 7393.
532 PaPel [451]
Bibliography ,
An equivalence for weighted integrals of an analytic function and its
derivative,
Math. Nachr. 281 (2008), no. 11, 16121623.
juhani_pav [452] M. Pavlovi¢ and J. Riihentaus,
Classes of quasi-nearly subharmonic functions,
Potential Anal. 29 (2008), no. 1, 89104.
us-homogeneous [453]
spaces,
, Quasi-nearly subharmonic functions Positivity 15 (2011), no. 1, 110.
zhu-pav [454] M. Pavlovi¢ and K. Zhu,
in locally uniformly homogeneous
New characterizations of Bergman spaces,
Sci. Fenn. Math. 33 (2008), no. 1, 8799, Addendum,
pelaez-pams [455] J. Á. Peláez, spaces,
dly-increasing [457]
Compact embedding derivatives of Hardy spaces into Lebesgue
Generalized Hilbert operators on weighted Bergman
Adv. Math. 240 (2013), no. 1, 227267.
, Weighted Bergman spaces induced by Amer. Math. Soc. 1066 (2014), iiivi + 122.
pelaez-annalen [458] J. Á. Peláez and J. Rättyä, monic analysis,
pelaez-two [459]
ez-proj-survey [460]
Ann. Acad. 1(2009), 315317.
Proc. Amer. Math. Soc. 144 (2016), no. 3, 10951107.
elaez-advances [456] J. À. Peláez and J. Rättyä, spaces,
ibid.
rapidly increasing weights,
Mem.
Embedding theorems for Bergman spaces via har-
Math. Ann. 362 (2015), no. 1-2, 205239.
, Two weight inequality (9) 105 (2016), no. 1, 102130.
for Bergman projection,
J. Math. Pures Appl.
, On the boundedness of Bergman projection, Proceedings of the 6th international school Advanced courses of mathematical analysis VI, Málaga, Spain, September 812, 2014, Hackensack, NJ: World Scienti c, 2017, pp. 113 132.
Pel [461] A. Peªczy«ski,
209228.
pelc-banach [462] A. Peªczy«ski, erators,
Projections in certain Banach spaces,
Studia Math. 19 (1960),
Banach spaces of analytic functions and absolutely summing op-
vol. 30, American Mathematical Society (AMS), Providence, RI, 1977, Expository lectures from the CBMS Regional Conference helf at Kent State University, July 11-16, 1976.
peller-hankel [463] V. V. Peller,
2003.
perala [464] A. Perälä, space,
Hankel operators and their applications,
Springer Monogr. Math.,
On the optimal constant for the Bergman projection onto the Bloch
Ann. Acad. Sci. Fenn., Math. 37 (2012), no. 1, 245249.
perala2018 [465] A. Perälä,
Duality of holomorphic Hardy type tent spaces,
arXiv:1803.10584 (2018).
perala-fenn [466] A. Perälä and J. Rättyä, nents,
arXiv preprint
Duality of weighted Bergman spaces with small expo-
Ann. Acad. Sci. Fenn., Math. 42 (2017), no. 2, 621626.
z2008univalent [467] F. Pérez-González and J. Rättyä, Univalent functions in Hardy, Bergman, Bloch and related spaces,
J. Anal. Math. 105 (2008), no. 1, 125148.
compact-compos [468] F. Pérez-González, J. Rättyä, and D. Vukoti¢,
between Hardy and weighted Bergman spaces,
309323.
On composition operators acting
Expo. Math. 25 (2007), no. 4,
533
Bibliography
ao-hardy-bloch [469] F. Pérez-González and J. Xiao,
(2001), no. 3-4, 709718.
Pichorides [470] S. K. Pichorides,
BlochHardy pullbacks,
Acta Sci. Math. 67
On the best values of the constants in the theorems of M.
Riesz, Zygmund and Kolmogorov,
Studia Math. 44 (1972), 165179. (errata insert), Collection of articles honoring the completion by Antoni Zygmund of 50 years of scienti c activity, II.
piranian [471] G. Piranian, A. L. Shilds, and J. H. Wells, absolutely continuous measures,
Pitt [472] H. R. Pitt,
A note on bilinear forms,
Plessner [473] A. Plessner,
Bounded analytic functions and
Proc. Amer. Math. Soc. 18 (1967), 818826.
J. London Math. Soc. 11 (1936), 174180.
Zur Theorie der konjugierten trigonometrischen Reihen,
Math. Sem. Giessen 10 (1923), 136.
pomm-M1(r) [474] Ch. Pommerenke, tionen,
ke-bloch-lacun [475] pomm-univ [476]
e1977schlichte [477] becker-pomm [478]
Mitt.
Über die Mittelwerte und Koe zienten multivalenter Funk-
Math. Ann. 145 (1962), 285296.
,
On Bloch functions,
J. Lond. Math. Soc., II. Ser. 2 (1970), 689695.
, Univalent functions, With a chapter on quadratic dierentials by Gerd Jensen, Studia Mathematica/Mathematische Lehrbücher, Band XXV, Vandenhoeck & Ruprecht, Göttingen, 1975. ,
Schlichte funktionen und analytische funktionen von beschränkter mit-
tlerer oszillation,
Commentarii Mathematici Helvetici 52 (1977), no. 1, 591602.
, Boundary behaviour of conformal maps, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 299, Springer-Verlag, Berlin, 1992.
rasila-ponnu [479] S. Ponnusamy and A. Rasila, Planar
harmonic and quasiregular mappings, Topics in modern function theory. Based on mini-courses of the CMFT workshop on computational methods and function theory, Guwahati, India, January 310, 2008, Mysore: Ramanujan Mathematical Society, 2013, pp. 267333.
Prawitz [480] H. Prawitz, Über Mittelwerte analytischer Funktionen, Arkiv för Mat. 20 (1927),
no. 6, 112.
privalov-conju [481] I. I. Privalo,
100103.
Sur le fonctions conjuguées,
Bull. Soc. Math. France 44 (1916),
rivalov-cauchy [482]
, Das Cauchysche Integral, Sonderabdruck aus den Mitteilungen der physikalischen und mathematischen Fakultät der Universität Saratow, 1919 (Russian).
privalov-ecole [483]
, Sur certaines propriétés métriques Polytechnique 24 (1924), 77112.
Rademacher [484] H. Rademacher, nen,
des fonctions analytiques,
J. École
Einige Sätze über Reihen von allgemeinen Orthogonalfunktio-
Math. Ann. 87 (1922), 112138.
Rado [485] T. Radó,
Aufgabe 41,
Jahresber. Deutsch. Math. Verein. 35 (1926), 49.
ramey-ulrich [486] W. Ramey and D. Ullrich,
Bounded mean oscillation of Bloch pull-backs,
Ann. 291 (1991), no. 4, 591606.
Math.
534
Bibliography
2transversally [487] S. Ravisankar, Transversally Lipschitz harmonic functions are Lipschitz, Compl.
Var. Ell. Eq. 58 (2013), no. 12, 16851700.
atte [488] A. Reijonen,
Derivatives of inner functions in weighted mixed norm spaces,
Geom. Anal. (2018), https://doi.org/10.1007/s12220-018-0065-8.
hter-dirichlet [489] S. Richter and A. Shields,
J.
Bounded analytic functions in the Dirichlet space,
Math. Z. 198 (1988), no. 2, 151159.
ichlet-richter [490] S. Richter and C. Sundberg,
A formula for the local Dirichlet integral,
Math. J. 38 (1991), no. 3, 355379.
riedl-thesis [491] R. Riedl,
Mich.
Composition operators and geometric properties of analytic functions,
Ph.D. thesis, Universität at Zurich, 1994.
Riesz-radial [492] F. Riesz,
Über die Randwerte einer analytischen Funktion,
(1923), 8795.
riesz-pars [493] Riesz-litl [494] Riesz-zyg [495]
,
Über eine Verallgemeinerung der Parsevalschen Formel,
18 (1923), 117124.
, Sur une inégalité de M. Littlewood London Math. Soc. 23 (1925), 3639. ,
Math. Zeit. 18
dans la théorie des fonctions,
Eine Ungleichung für harmonische Funktionen,
43 (1936), 401406.
Riesz-F-M [496] F. Riesz and M. Riesz,
Math. Zeit.
Monatsh. Math. Phys.
Über die Randwerte einer analytischen Funktion,
triéme congrés des math. scand. 1916 (1916), 2744.
riesz-conj [497] M. Riesz, riesz-inter [498]
Sur les fonctions conjuguées,
, Sur les maxima des formes Acta Math. 49 ((1927)), 465497.
juhani_prep [499] J. Riihentaus,
Proc.
Qua-
Math. Zeit. 27 (1927), 218244.
bilinéaires et sur les fonctionelles linéaires,
A generalized mean value inequality for subharmonic functions,
Expo. Math. 19 (2001), no. 2, 187190.
Rolewicz [500] S. Rolewicz,
Metric linear spaces, PWN-Polish Scienti c Publishers, Warsaw, 1972, Monogra e Matematyczne, Tom. 56. [Mathematical Monographs, Vol. 56].
RR [501] M. Rosenblum and J. Rovnyak, Topics in Hardy classes and univalent functions,
Birkhäuser Advanced Texts: Basler Lehrbücher. [Birkhäuser Advanced Texts: Basel Textbooks], Birkhäuser Verlag, Basel, 1994.
rozenblum-isop [502] G. Rozenblum, M. Ruzhansky, and D. Suragan, Schatten norms of Riesz potentials,
um2018toeplitz [503] G. Rozenblum and N. Vasilevski, type spaces,
Toeplitz operators in polyanalytic Bergman
arXiv preprint arXiv:1807.11216 (2018).
Taylor [504] L. A. Rubel, A. L. Shields, and B. A. Taylor, of continuity of analytic functions,
rudin-blaschke [505] W. Rudin,
235242.
Isoperimetric inequalities for
J. Funct. Anal. 271 (2016), no. 1, 224239.
Mergelyan sets and the modulus
J. Approx. Theory 15 (1975), no. 1, 2340.
The radial variation of analytic functions,
Duke Math. J. 22 (1955),
535
Bibliography rudin-paley [506]
962projections [507]
,
311.
Remarks on a theorem of Paley,
, Projections no. 3, 429432.
J. Lond. Math. Soc. 32 (1957), 307
on invariant subspaces,
Proc. Amer. Math. Soc. 13 (1962),
Rudin1 [508]
, Real and complex analysis, second ed., McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York, 1974.
Rudin3 [509]
, Function theory in the unit ball of Cn , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science], vol. 241, Springer-Verlag, New York, 1980.
Rudin5 [510]
, Composition (1984), 719.
Rudin2 [511]
, Functional analysis, International Series in Pure and Applied Mathematics, McGraw-Hill Inc., New York, 1991.
anov2018cauchy [512] V. I. Ryazanov, tions,
with inner functions,
Complex Variables, Theory Appl. 4
The CauchyStieltjes integrals in the theory of analytic func-
J. Math. Sciences (2018), 12 pp., https://doi.org/10.1007/s10958-0183981-z.
aracterization [513] E. Rydhe, functions,
On the characterization of TriebelLizorkin type spaces of analytic
J. Fourier Anal. and Appl. (2017), 27 pp., to appear.
zyg-salem [514] R. Salem and A. Zygmund,
A. 34 (1948), 443447.
sarason [515] D. Sarason,
A convexity theorem,
Functions of vanishing mean oscillation,
207 (1975), 391405.
Sawyer [516] S. Sawyer,
Maximal inequalities of weak type,
Seneta [517] E. Seneta,
Regularly varying functions,
174.
Proc. Nat. Acad. Sci. U. S.
Sh [518] J. H. Shapiro,
Trans. Amer. Math. Soc.
Ann. Math. (2) 84 (1966), 157
Springer-Verlag, Berlin, 1976.
Linear topological properties of the harmonic Hardy spaces
0 < p < 1, Illinois J. Math. 29 (1985), 311339.
shapiro-annals [519] Shapiro [520]
, The essential (1987), 375404.
norm of a composition operator,
hp
for
Ann. Math. (2) 125
, Composition operators and classical function theory, Universitext: Tracts in Mathematics, Springer-Verlag, New York, 1993.
ShSh [521] J. H. Shapiro and A. L. Shields, Unusual topological properties of the Nevanlinna class,
Amer. J. Math. 97 (1976), 915936.
SW72 [522] A. L. Shields and D. L. Williams, in spaces of analytic functions,
SW78 [523] SW82 [524]
,
Bounded projections, duality, and multipliers in spaces of harmonic
functions, disc,
Bounded projections, duality, and multipliers
Trans. Amer. Math. Soc. 162 (1971), 287302.
J. Reine Angew. Math. 299/300 (1978), 256279.
, Bounded projections and the growth of harmonic Michigan Math. J. 29 (1982), no. 1, 325.
conjugates in the unit
536
Bibliography
shirokov-book [525] N. A. Shirokov,
Analytic functions smooth up to the boundary,
in Math. 1312, Berlin etc.: Springer-Verlag, 1988.
Shvedenko [526] S. V. Shvedenko,
Lecture Notes
Hardy classes and related spaces of analytic functions in the
unit circle, polydisc, and the ball,
J. Sov. Math. 39 (1987), no. 6, 30113087, Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 23, 3124.
siskakis [527] A. G. Siskakis,
Weighted integrals of analytic functions,
(Szeged) 66 (2000), no. 3-4, 651664.
Sl74 [528] W. T. Sledd,
Acta Sci. Math.
Some inequalities related to the HausdorYoung theorem,
Amer. Math. Soc. 42 (1974), 535540.
sledd-stu [529]
803.
,
On multipliers of
Hp
spaces,
multiplier-fef [530] W. T. Sledd and D. A. Stegenga,
(1981), 265270.
smirnoff [531] V. Smirno, cercle,
Proc.
Indiana Univ. Math. J. 27 (1978), 797
An
H1
multiplier theorem,
Ark. Mat. 19
Sur les valeurs limites des fonctions, réguliéres à l'intérieur d'un
Journ. Soc. Phys.-Math. Leningrad 2 (1929), 2237.
Smith [532] B. Smith,
1 A strong convergence theorem for H (T), Banach spaces, harmonic analysis, and probability theory (Storrs, Conn., 1980/1981), Lecture Notes in Math., vol. 995, Springer, Berlin, 1983, pp. 169173.
smith-compos [533] W. Smith,
Composition operators between Bergman and Hardy spaces,
Amer. Math. Soc. 348 (1996), no. 6, 23312348.
smith-inner [534]
, Inner functions (1998), 103114.
sobolev [535] S. Sobole,
in the hyperbolic little Bloch class,
Sur un théorème d'analyse fonctionnelle,
(1938), 491497 (Russian).
spencer [536] D. C. Spencer,
On nitely mean valent functions,
Ser. 47 (1941), 201211.
chkin1951order [537] S. B. Stechkin, On
Trans.
Mich. Math. J. 45
Rec. math., Moscou 4
Proc. Lond. Math. Soc., II.
the order of the best approximations of continuous functions,
Izv. AN USSR. Ser. Mat. 15 (1951), no. 3, 219242 (Russian).
stegenga-vmoa [538] D. A. Stegenga,
Bounded Toeplitz operators on
1
H and 98 (1976), 573589.
ality between
H1
and applications of the du-
the functions of bounded mean oscillation,
Amer. J. Math.
stein-max [539] E. M. Stein, A maximal function with applications to Fourier series, Ann. Math.
(2) 68 (1958), 584603.
Stein-lim [540] stein1 [541] stein2 [542] Stein-log [543]
, On
limits of seqences of operators,
, Classes H , multiplicateurs et Acad. Sci. Paris 263 (1966), 716719. p
,
Classes
,
Note on the class
H p,
Ann. Math. (2) 74 (1961), 140170.
fonctions de LittlewoodPaley,
C. R.
multiplicateurs et fonctions de LittlewoodPaley. Applica-
tions de résultats anterieurs,
C. R. Acad. Sci. Paris 263 (1966), 780781.
L log L, Studia Math. 31 (1969), 305310.
537
Bibliography EMS [544]
,
Harmonic analysis:
latory integrals,
real-variable methods, orthogonality, and oscil-
Princeton Mathematical Series, vol. 43, Princeton University Press, Princeton, NJ, 1993, With the assistance of Timothy S. Murphy, Monographs in Harmonic Analysis, III.
Stein-Zygmund [545] E. M. Stein and A. Zygmund, on Hölder spaces and
Stein-P [546] P. Stein,
On a theorem of M. Riesz,
stepanets [547] A. I. Stepanets, Stef [548] K. Stephenson,
(1979), 259266.
bloch-inner [549]
Boundedness of translation invariant operators
Lp -spaces, Ann. Math. (2) 85 (1967), 337349.
J. London Math. Soc. 8 (1933), 242247.
Methods of approximation theory,
Functions which follow inner functions,
, Construction of an inner function in Amer. Math. Soc. 308 (1988), no. 2, 713720.
Sti1 [550] W. J. Stiles,
On properties of subspaces of
Soc. 149 (1970), 405415.
Sti [551]
,
Some properties of
stoll-orlicz [552] M. Stoll,
Utrecht: VSP, 2005. Illinois J. Math. 23
the little Bloch space,
`p , 0 < p < 1, Trans. Amer. Math.
`p , 0 < p < 1, Studia Math. 42 (1972), 109119.
A characterization of Hardy-Orlicz spaces on planar domains,
Amer. Math. Soc. 117 (1993), no. 4, 10311038.
stoll-london [553]
, A characterization of Hardy spaces Math. Soc. (2) 48 (1993), no. 1, 126136.
stoll-prop [554] M. Stoll,
Trans.
on the unit ball of
Proc.
Cn , J. London
Harmonic majorants for eigenfunctions of the Laplacian with nite
Dirichlet integrals,
J. Math. Anal. Appl. 274 (2002), no. 2, 788811.
stoll-06 [555] M. Stoll, The LittlewoodPaley inequalities for HardyOrlicz spaces of harmonic
Rn , Potential theory in Matsue, Adv. Studia Pure Math., vol. 44, Math. Soc. Japan, Tokyo, 2006, pp. 363376. functions on domains in
stoll-recent [556]
, LittlewoodPaley inequalities for subharmonic functions on domains Rn , Recent Advances in Harmonic Analysis and Applications, Springer Proceedings in Mathematics and Statistics, vol. 25, Springer, 2013, pp. 357383. in
stoll-lp [557] M. Stoll,
LittlewoodPaley theory for subharmonic functions on the unit ball in
RN , J. Math. Anal. Appl. 420 (2014), no. 1, 483514.
oll-book-invar [558]
, Harmonic and subharmonic function theory 431, Cambridge: Cambridge University Press, 2016.
storo-approx [559] Eh. A. Storozhenko,
Approximation of functions of class
USSR, Sb. 34 (1978), 527545.
storo-gruzija [560]
oro-smoothness [561] Storoz [562]
on the hyperbolic ball,
vol.
H p , 0 < p ≤ 1, Math.
, On the approximation of functions of the class H p , 0 < p < 1, Soobshch. Akad. Nauk Gruz. SSR 88 (1978), 4548 (Russian). , Theorems (1981), 203218.
of Jackson type in
, On a problem 564583 (Russian).
H p , 0 < p < 1, Math. USSR, Izv. 17
of Hardy and Littlewood,
Mat. Sb. 119(161) (1982),
538
Bibliography
sunouchi [563] G. Sunouchi,
On the summability of power series and Fourier series,
Math. J., II Ser. 7 (1955), 96109.
sas [564] O. Szász,
Converse theorems of summability for Dirichlet series,
Math. Soc. 39 (1936), 117130.
Szege [565] G. Szegö,
Über die Randwerte einer analytischen Funktion,
(1921), 232244.
soge [566]
Tôhoku
Trans. Amer.
Math. Ann. 84
, Orthogonal polynomials. revised ed., Colloquium Publ. 23, American Mathematical Society, New York City, 1959.
taibleson2 [567] M.H. Taibleson,
On the theory of Lipschitz spaces of distributions on euclidean
n-spaces. II. Translation inariant operators, Mech. 14 (1965), 821839. Tamrazov [568] P. M. Tamrazov,
J. Math.
Contour and solid structural properties of holomorphic func-
tions of a complex variable,
Taylor1 [569] A. E. Taylor,
duality, and interpolation,
Uspehi Mat. Nauk 28 (1973), no. 1(169), 131161.
Banach spaces of functions analytic in the unit circle, I,
Math. 11 (1950), no. 11, 145170.
thorin [570] G. O. Thorin,
An extension of a convexity theorem due to M. Riesz,
Fysiograf.
Sällsk. Lund Förhdl. 8 (1938), 166170.
2puta-timan [571] A. F. Timan and M. F. Timan, approximation in the mean,
(Russian).
timan [572] M. F. Timan,
Studia
Generalized modulus of continuity and best
Dokl. Akad. Nauk SSSR, n. Ser. 71 (1950), 1720
Umkehrsätze der konstruktiven Funktionentheorie in Räumen
Lp (1 ≤ p ≤ ∞), Mat. Sb., N. Ser. 46(88) (1958), 125132 (Russian).
tjani-thesis [573] M. Tjani, space,
Compact composition operators on some Möbius invariant Banach
Ph.D. thesis, Michigan State University, 1996.
Torchinsky [574] A. Torchinsky,
Real-variable methods in harmonic analysis, Pure and Applied Mathematics, vol. 123, Academic Press Inc., Orlando, FL, 1986.
trebels [575] W. Trebels, Multipliers
for
and approximation theory,
Verlag, Berlin, 1973.
Turpin [576] P. Turpin,
(C, α)-bounded Fourier expansions in Banach spaces Lecture Notes in Mathematics, Vol. 329, Springer-
Convexités dans les espaces vectoriels topologiques généraux,
tationes Math. (Rozprawy Mat.) 131 (1976), 221.
mey-tangential [577] J. B. Twomey, Tangential
boundary behaviour of the Cauchy integral,
Math. Soc., II. Ser. 37 (1988), no. 3, 447454.
verb-conj [578] I. E. Verbitsky,
Disser-
J. London
An estimate of the norm of a function in a Hardy space in
terms of the norms of its real and imaginary parts,
Soc. 124 (1984), 1115. vinogradov-K [579] S. A. Vinogradov,
Transl., Ser. 2, Am. Math.
Properties of multipliers of CauchyStieltjes integrals and
some factorization problems for analytic functions,
Soc. 115 (1976), 132.
Transl., Ser. 2, Am. Math.
539
Bibliography
multiplication [580]
,
Multiplication and division in the space of analytic functions with area
integrable derivative, and in some related spaces,
POMI 222 (1995), 4577. vladimirov [581] V. S. Vladimirov,
Zapiski Nauchnykh Seminarov
Generalized functions in mathematical physics. (obobshchen-
nye funktsii v matematicheskoj zike). 2nd ed., correct. and suppl.,
ziko-tehnicheskie problemmy, Nauka, Moscow, 1979 (Russian).
vuorinen [582] M. Vuorinen,
Conformal geometry and quasiregular mappings,
Mathematics, vol. 1319, Springer-Verlag, Berlin, 1988.
sh2000property [583] D. Walsh, A
property of univalent functions in
no. 01, 121124.
xiao-jga2 [584] J. Wang and J. Xiao,
Sovremennye
Lecture Notes in
Ap , Glasgow Math. J. 42 (2000),
Analytic Campanato spaces by functionals and operators,
J. Geom. Anal. 26 (2016), no. 4, 29963018.
redcontractive [585] F. B. Weissler, on the circle,
Logarithmic Sobolev inequalities and hypercontractive estimates
J. Funct. Anal. 37 (1980), 218234.
wittman [586] R. Wittmann,
Coe cient inequalities for analytic functions in
Camb. Philos. Soc. 120 (1996), no. 2, 331337.
W84 [587] P. Wojtaszczyk, Hp -spaces, p ≤ 1,
289320.
W91 [588]
and spline systems,
H 1 , Math. Proc.
Studia Math. 77 (1984),
, Banach spaces for analysts, Cambridge Studies in Advanced Mathematics, vol. 25, Cambridge University Press, Cambridge, 1991.
007compactness [589] H. Wulan,
Compactness of composition operators on BMOA and VMOA,
ence in China Series A: Mathematics 50 (2007), no. 7, 9971004.
zhu2009compact [590] H. Wulan, D. Zheng, and K. Zhu, and the Bloch space,
Sci-
Compact composition operators on BMOA
Proc. Amer. Math. Soc 137 (2009), no. 11, 38613868.
zhu-qk [591] H. Wulan and K. Zhu, QK
spaces via higher order derivatives,
Math. 38 (2008), no. 1, 329350.
zhu-qk-book [592] H. Wulan and K. Zhu,
Möbius invariant
QK
spaces,
Rocky Mt. J.
Cham: Springer, 2017.
Xiao2 [593] J. Xiao,
Holomorphic Q classes, Lecture Notes in Mathematics, vol. 1767, Springer-Verlag, Berlin, 2001.
xiao [594]
, Geometric Qp Basel, 2006.
xiao-jga [595] J. Xiao and W. Xu,
functions,
Frontiers in Mathematics, Birkhäuser Verlag,
Composition operators between analytic Campanato spaces,
J. Geom. Anal. 24 (2014), no. 2, 649666.
xiao-indiana [596] J. Xiao and C. Yuan,
Analytic Campanato spaces and their compositions,
ana Univ. Math. J. 64 (2015), no. 4, 10011025.
Xu-reine [597] Q. Xu, spaces,
Indi-
Littlewood-Paley theory for functions with values in uniformly convex
J. Reine Angew. Math. 504 (1998), 195226.
amahita-hyp-H1 [598] S. Yamashita,
Hyperbolic Hardy class
H 1 , Math. Scand. 45 (1979), 261266.
540 yam [599]
hita-hyp-hardy [600]
Bibliography , Gap series and α-Bloch functions, Yokohama Math. J. 28 (1980), no. 1 2, 3136. , On hyperbolic (1981), 6569.
ara-containing [601] N. Yanagihara,
Hardy classes,
Comment. Math. Univ. St. Pauli 30
The containing Fréchet space for the class
40 (1973), 93103.
anagihara-dual [602]
ara-seconddual [603]
N + , Duke Math. J.
, Multipliers and linear functionals for the class N + , Trans. Amer. Math. Soc. 180 (1973), 449461. 3336.
,
The second dual space for the space
acunary-archiv [604] C. Yang and W. Xu,
N + , Proc. Japan Acad. 49 (1973),
Spaces with normal weights and Hadamard gap series,
Arch. Math. 96 (2011), no. 2, 151160.
ye [605] S. Ye,
Weighted composition operators from analytic Morrey spaces into Zyg-
mund spaces,
J. Comput. Anal. Appl. 25 (2018), no. 4, 770784.
Young [606] L. C. Young,
567574.
young1 [607] W. H. Young,
3033.
young2 [608]
On an inequality of Marcel Riesz,
Sur la généralisation du théorème de Parseval,
, On the multiplication of Soc. Proc. 87 (1913), 331339.
xiukui [609] X. Yue,
C. R. 155 (1912),
successions of Fourier constants,
Coe cient multipliers on mixed norm spaces,
Univ. Ser. B 19 (2004), no. 3, 252256.
zakh [610] V. P. Zakharyuta and V. I. Yudovich, on
Ann. Math. (2) 40 (1939),
London Roy.
Appl. Math. J. Chinese
The general form of linear functionals
Hp , Uspehi Mat. Nauk. 19 (1964), 139142 (Russian).
theory-bergman [611] R. Zhao and K. Zhu,
Theory of Bergman spaces in the unit ball of
Soc. Math. Fr., Nouv. Sér. 115 (2008), 1103.
Cn , Mém.
zhu-coef [612] K. Zhu, Analytic Besov spaces, J. Math. Anal. Appl. 157 (1991), no. 2, 318336. Zhu-ball [613]
, Spaces of holomorphic functions in the unit ball, Graduate Texts in Mathematics, vol. 226, Springer-Verlag, New York, 2005.
zhu-moebius [614]
, A class of Möbius invariant function spaces, Illinois J. Math. 51 (2007), no. 3, 9771002.
Zhu [615]
, Operator theory in function spaces, 2nd ed., vol. 138, Providence, RI: American Mathematical Society (AMS), 2007.
1986distortion [616] M. Zinsmeister,
A distortion theorem for quasiconformal mappings,
Math. France 114 (1986), 123133.
Zygmund-absol [617] A. Zygmund,
Sur la convergence absolue des séries de Fourier,
Math. Soc. 3 (1928), 194196.
Zyg-conj [618]
,
Sur les fonctions conjuguées,
Bull. Soc.
Proc. London
Fund. Math. 13 (1929), 284303.
541
Bibliography Zygmund-ris [619]
Zygmund-cesaro [620]
, Some points in the theory of Amer. Math. Soc. 36 (1934), 586617.
trigonometric and power series,
Trans.
,
On the convergence and summability of power series on the circle of
zygmund [621]
,
On certain integrals,
Zy45 [622]
,
Smooth functions,
ygmund-tucuman [623] zyg-marc [624] Zy58 [625]
convergence. II,
Proc. London Math. Soc. (2) 47 (1941), 326350.
Trans. Amer. Math. Soc. 55 (1944), 170204.
Duke Math. J. 12 (1945), 4776.
, A remark on the integral Nac. Tucuman 7 (1950), 259269.
modulus of continuity,
, On a theorem of Marcinkiewicz concerning J. Math. Pures Appl. (9) 35 (1956), 223248.
Rev., Ser. A, Univ.
interpolation of operations,
, Trigonometric series: Vols. I, II, Second edition, reprinted with corrections and some additions, Cambridge University Press, London, 1968.
