English

Lipschitz type characterizations for Bergman Spaces

Complex Variables 2007-05-23 v1

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

Cite

@article{arxiv.math/0611094,
  title  = {Lipschitz type characterizations for Bergman Spaces},
  author = {Hasi Wulan and Kehe Zhu},
  journal= {arXiv preprint arXiv:math/0611094},
  year   = {2007}
}

Comments

16 pages