LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS

doi:10.1007/s10473-020-0516-8

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (5): 1445-1458.doi: 10.1007/s10473-020-0516-8

LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS

马茹梦, 徐景实

School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China

收稿日期:2018-08-23 修回日期:2020-05-29 出版日期:2020-10-25 发布日期:2020-11-04
通讯作者: Jingshi XU E-mail:jingshixu@126.com
作者简介:Rumeng MA,E-mail:rumengmashuxue@163.com
基金资助:
The work was supported by Hainan Province Natural Science Foundation of China (2018CXTD338), the National Natural Science Foundation of China (11761026 and 11761027), and Guangxi Natural Science Foundation (2020GXNSFAA159085).

LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS

Rumeng MA, Jingshi XU

School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China

Received:2018-08-23 Revised:2020-05-29 Online:2020-10-25 Published:2020-11-04
Contact: Jingshi XU E-mail:jingshixu@126.com
Supported by:
The work was supported by Hainan Province Natural Science Foundation of China (2018CXTD338), the National Natural Science Foundation of China (11761026 and 11761027), and Guangxi Natural Science Foundation (2020GXNSFAA159085).

摘要/Abstract

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.

关键词: Bergman-Orlicz space, Lipschitz condition, hyperbolic metric

Abstract: 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.

Key words: Bergman-Orlicz space, Lipschitz condition, hyperbolic metric

中图分类号:

32A36

马茹梦, 徐景实. LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS[J]. 数学物理学报(英文版), 2020, 40(5): 1445-1458.

Rumeng MA, Jingshi XU. LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS[J]. Acta mathematica scientia,Series B, 2020, 40(5): 1445-1458.

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LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS

LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS

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