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arXiv 2006-11-03 0 views

Lipschitz type characterizations for Bergman Spaces

Wulan, Hasi · Zhu, Kehe

Original · EN

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

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