Lipschitz Type Characterizations for Bergman-Orlicz Spaces and Their Applications

被引：2

作者：

Ma, Rumeng ^{[1
]}

Xu, Jingshi ^{[1
]}

机构：

[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Bergman-Orlicz space; Lipschitz condition; hyperbolic metric; SOBOLEV SPACES;

D O I：

10.1007/s10473-020-0516-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give characterizations for Bergman-Orlicz spaces with standard weights via a Lipschitz type condition in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As an application, we obtain the boundeness of the symmetric lifting operator from Bergman-Orlicz spaces on the unit disk into Bergman-Orlicz spaces on the bidisk.

引用

页码：1445 / 1458

页数：14

共 15 条

[11] POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cn
Peng, Ru
Xing, Xiaolei
Jiang, Liangying
[J]. ACTA MATHEMATICA SCIENTIA, 2019, 39 (04) : 1003 - 1016
[12] Sehba B., ARXIV161001954
[13] Lipschitz Type Characterizations for Bergman Spaces
Wulan, Hasi
Zhu, Kehe
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2009, 52 (04): : 613 - 626
[14] New characterizations of Hajlasz-Sobolev spaces on metric spaces
Yang, DC
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 46 (05): : 675 - 689
[15] Zhu K., 2004, SPACES HOLOMORPHIC F

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