Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (5): 1445-1458.doi: 10.1007/s10473-020-0516-8

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LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS

Rumeng MA, Jingshi XU   

  1. 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).

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

CLC Number: 

  • 32A36
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