Hardy and Bergman spaces on hyperconvex domains and their composition operators

Details Hardy and Bergman spaces on hyperconvex domains and their composition operators Hardy and Bergman spaces on hyperconvex domains and their composition operators

2007-03-08

arxiv.org/abs/math/0703238v1

Mathematics

Complex Variables

Scientific paper

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.

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