BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS

被引：4

作者：

Fu, Xi ^{[1
]}

Qiao, Jinjing ^{[2
]}

机构：

[1] Shanghai Polytech Univ, Dept Math, Coll Arts & Sci, Shanghai 201209, Peoples R China

[2] Hebei Univ, Coll Math & Informat Sci, Baoding 071002, Hebei, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 02期

关键词：

p-harmonic function; Bergman space; Bloch space; integral mean;

D O I：

10.4134/BKMS.b200367

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in R-n. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space A(gamma)(k). Secondly, we characterize Bloch space B-omega(alpha) in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.

引用

页码：481 / 495

页数：15

共 28 条

[1]

[Anonymous], 2005, SPACES HOLOMORPHIC F

[2]

[Anonymous], 1981, ORDWAY PROFESSORSHIP

[3] Generalized Bloch spaces, integral means of hyperbolic harmonic mappings in the unit ball [J].

Chen, Jiaolong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 464 (01) :596-615

[4] Characterizations of Lipschitz-type, Bloch-type and Dirichlet-type spaces [J].

Chen, Shaolin ;

Liu, Gang ;

Rasila, Antti .

MONATSHEFTE FUR MATHEMATIK, 2020, 191 (03) :513-536

[5] On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces [J].

Chen, Shaolin ;

Ponnusamy, Saminathan ;

Rasila, Antti .

MATHEMATISCHE ZEITSCHRIFT, 2015, 279 (1-2) :163-183

[6] Radial growth, Lipschitz and Dirichlet spaces on solutions to the non-homogenous Yukawa equation [J].

Chen, Shaolin ;

Rasila, Antti ;

Wang, Xiantao .

ISRAEL JOURNAL OF MATHEMATICS, 2014, 204 (01) :261-282

[7] Some characterizations for exponentially weighted Bergman spaces [J].

Cho, Hong Rae ;

Park, Soohyun .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (10) :1758-1772

[8] Double integral characterizations of harmonic Bergman spaces [J].

Choe, Boo Rim ;

Nam, Kyesook .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (02) :889-909

[9] Characterizations of the harmonic Bergman space on the ball [J].

Choi, Eun Sun ;

Na, Kyunguk .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (01) :375-385

[10] Equivalent norms on Lipschitz-type spaces of holomorphic functions [J].

Dyakonov, KM .

ACTA MATHEMATICA, 1997, 178 (02) :143-167

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