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Hardy and Bergman spaces on hyperconvex domains and their composition operators

Evgeny A. Poletsky·Michael I. Stessin
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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.

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Evgeny A. Poletsky, Michael I. Stessin. 2007-03-08. Hardy and Bergman spaces on hyperconvex domains and their composition operators. https://arxiv.org/abs/math/0703238

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