Composition operators on a Banach space of analytic functions

被引：0

作者：

Cao, GF ^{[1
]}

Elias, N

Ghatage, P

Yu, DH

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Cleveland State Univ, Dept Math, Cleveland, OH 44115 USA

来源：

ACTA MATHEMATICA SINICA-NEW SERIES | 1998年 / 14卷 / 02期

关键词：

Bergman space; composition operator; compact operator; Fredholm operator;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study composition operators on a Banach space of analytic functions, denoted by X, which includes the Bloch space. This space arises naturally as the dual space of analytic functions in the Bergman space L-alpha(1)(D) which admit an atomic decomposition. We characterise the functions which induce compact composition operators and those which induce Fredholm operatorson this space. We also investigate when a composition operator has a closed range.

引用

页码：201 / 208

页数：8

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