Hardy and Bergman spaces on hyperconvex domains and their composition operators

2007/03/08 by Evgeny A. Poletsky, Poletsky, Evgeny A., Michael Stessin +1 · 1 citation
Mathematics · #32F05 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.math/0703238

openalex publication_date 2007/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Composition operators between Bergman and Hardy spaces
• The Essential Norm of a Composition Operator

Cited by

• Cyclicity in Poletsky-Stessin Weighted Bergman Spaces

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