Composition Operators on Dirichlet Spaces and Bloch Space

被引：0
|
作者：
Yuan CHENG [1 ]
Sanjay KUMAR [2 ]
Ze Hua ZHOU [3 ,4 ]
机构：
[1] Institute of Mathematics, School of Science, Tianjin University of Technology and Education
[2] Department of Mathematics, University of Jammu
[3] Department of Mathematics, Tianjin University
[4] Center for Applied Mathematics of Tianjin University
来源：
Acta Mathematica Sinica,English Series | 2014年 / 30卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Bergman spaces; Bloch space; Carleson measure; composition operators; Dirichlet type spaces;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper we give a Carleson measure characterization for the compact composition operators between Dirichlet type spaces. We use this characterization to show that every compact composition operator on Dirichlet type spaces is compact on the Bloch space.
引用
收藏
页码：1775 / 1784
页数：10
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