Bloch spaces on bounded symmetric domains in complex Banach spaces
type: Item
instance of: scholarly article
title: Bloch spaces on bounded symmetric domains in complex Banach spaces
zbMATH Open document ID: 1114.32002
author: Fangwen Deng
author: Caiheng Ouyang
published in: Science in China. Series A
publication date: 2007-02-16T00:00:00Z
review text: Bloch functions on the unit disc in \(\mathbb C\) are classical and important functions. They have been generalized to other spaces, for example, bounded homogeneous domains in \(\mathbb C^n\), strongly pseudo-convex domains in \(\mathbb C^n\), the unit ball in a complex Hilbert space. The purpose of this paper is to define Bloch functions on bounded symmetric domains in complex Banach spaces and study some properties of such Bloch spaces. For example, it shows that they are Banach spaces and the composition operators are bounded.
reviewed by: Lizhen Ji
Mathematics Subject Classification ID: 32A18
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 32M15
zbMATH DE Number: 5127956
zbMATH Keywords: Bloch function
zbMATH Keywords: bounded symmetric domain
zbMATH Keywords: Banach space
MaRDI profile type: Publication
full work available at URL: s11425-006-2050-0
OpenAlex ID: W1564855487
cites work: Q3764429
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DOI: 10.1007/S11425-006-2050-0
description: scientific article; zbMATH DE number 5127956