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Lipschitz Type Characterizations for Bergman Spaces

Published:2009-12-01
Printed: Dec 2009
• Hasi Wulan
• Kehe Zhu
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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