Lipschitz Type Characterizations for Bergman Spaces

Canadian mathematical bulletin

关键词: Bergman spaces;    hyperbolic metric;    Lipschitz condition;   

DOI  :  10.4153/CMB-2009-060-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We obtain new characterizations for Bergman spaces with standardweights in terms of Lipschitz type conditions in the Euclidean,hyperbolic, and pseudo-hyperbolic metrics. As a consequence, weprove optimal embedding theorems when an analytic functionon the unit disk is symmetrically lifted to the bidisk.

【 授权许可】

Unknown