Composition operators on Dirichlet spaces and Bloch space

被引：0
|
作者：
Yuan Cheng
Sanjay Kumar
Ze Hua Zhou
机构：
[1] Tianjin University of Technology and Education,Institute of Mathematics, School of Science
[2] University of Jammu,Department of Mathematics
[3] Tianjin University,Department of Mathematics
[4] Center for Applied Mathematics of Tianjin University,undefined
来源：
Acta Mathematica Sinica, English Series | 2014年 / 30卷
关键词：
Bergman spaces; Bloch space; Carleson measure; composition operators; Dirichlet type spaces; 47B38; 47B33; 30H20; 30H30; 30D45;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1775 / 1784
页数：9
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