LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS

• 作 者: Rumeng MA Jingshi XU
• 机 构: School of Mathematics and Computing Science, Guilin University of Electronic Technology,Guilin 54100
• 出 处: 数学物理学报（英文版）
• 发表日期: 2020年5期
• 关键词: Bergman-Orlicz space Lipschitz condition hyperbolic metric

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.