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Lipschitz Type Characterizations for Bergman Spaces |
Published:2009-12-01
Printed: Dec 2009
Printed: Dec 2009
- Hasi Wulan
- Kehe Zhu
Abstract
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.
| Keywords: | Bergman spaces, hyperbolic metric, Lipschitz condition |
| MSC Classifications: | 32A36 - Bergman spaces |