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

页码：121 / 133

页数：13

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