Lipschitz type characterizations for Bergman Spaces

Details Lipschitz type characterizations for Bergman Spaces Lipschitz type characterizations for Bergman Spaces

2006-11-03

arxiv.org/abs/math/0611094v1

Mathematics

Complex Variables

16 pages

Scientific paper

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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