Hardy and Bergman spaces on hyperconvex domains and their composition operators
Complex Variables
2007-05-23 v1
Abstract
In thius paper we introduce the Hardy and Bergman spaces on hyperconvex domains relative to a acontinuous exhaustion function. We prove their basic properties and study their composition operators induced by holomorphic mappings between domains.
Cite
@article{arxiv.math/0703238,
title = {Hardy and Bergman spaces on hyperconvex domains and their composition operators},
author = {Evgeny A. Poletsky and Michael I. Stessin},
journal= {arXiv preprint arXiv:math/0703238},
year = {2007}
}