Essential norms of the integral-type composition operators between Bloch-type spaces

被引：6

作者：

Chen, Cui ^{[1
]}

Zhou, Ze-Hua ^{[1
,2
]}

机构：

[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Bloch-type space; essential norm; integral-type composition operator; boundedness; compactness; WEIGHTED COMPOSITION OPERATORS;

D O I：

10.1080/10652469.2014.887073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some new and simple characterizations for the boundedness and compactness of the integral-type composition operators acting on Bloch-type spaces, and obtain corresponding estimates for their essential norms in terms of the sequence . From which the sufficient and necessary conditions of compactness of the integral-type composition operators follows immediately.

引用

页码：552 / 561

页数：10

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