WEIGHTED COMPOSITION OPERATORS BETWEEN DIRICHLET SPACES

被引：0
|
作者：
王茂发 [1 ]
机构：
[1] School of Mathematics and Statistics, Wuhan University
来源：
Acta Mathematica Scientia | 2011年 / 31卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Vector-valued analytic function; Dirichlet space; weighted composition operator; boundedness;
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 article, we study the boundedness of weighted composition operators between different vector-valued Dirichlet spaces. Some sufficient and necessary conditions for such operators to be bounded are obtained exactly, which are different completely from the scalar-valued case. As applications, we show that these vector-valued Dirichlet spaces are different counterparts of the classical scalar-valued Dirichlet space and characterize the boundedness of multiplication operators between these different spaces.
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页码：641 / 651
页数：11
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