Weighted Composition Operators Acting on Dirichlet Type Spaces

被引：0
|
作者：
Nasresfahani, S. [1 ]
Vaezi, H. [1 ]
机构：
[1] Univ Tabtiz, Fac Math Sci, Dept Math, Math, Tabriz, Iran
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2020年 / 14卷 / 02期
关键词：
Weighted composition operator; dirichlet type spaces; boundedness; carleson measure; isometry; COMPACT COMPOSITION OPERATORS; ISOMETRIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the weighted composition operator psi C-phi on the Dirichlet type spaces D-alpha(P)(D). We show that if the weighted composition operator psi C-phi is bounded on such spaces(for 1 <= p < 2) then the related measure mu(p,alpha,psi) is a Carleson measure. Also we show that if the weighted composition operator psi C-phi is an isomety on D-alpha(p)(D) then psi.phi is a rotation map on D.
引用
收藏
页码：121 / 133
页数：13
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