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arxiv: math/0703238 · v1 · submitted 2007-03-08 · 🧮 math.CV

Hardy and Bergman spaces on hyperconvex domains and their composition operators

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keywords domainsbergmancompositionhardyhyperconvexoperatorsspacesacontinuous
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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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