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
收藏
页码：201 / 208
页数：8
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