Hypercyclicity of weighted composition operators on a weighted Dirichlet space

被引：16

作者：

Zhang, Li ^{[1
]}

Zhou, Ze-Hua ^{[2
]}

机构：

[1] Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2014年 / 59卷 / 07期

基金：

中国国家自然科学基金;

关键词：

weighted Dirichlet space; weighted composition operators; hypercyclic; PROPERTY;

D O I：

10.1080/17476933.2013.809573

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study the hypercyclicity of weighted composition operators on the weighted Dirichlet space . According to the value of , we give different results: when , we have no hypercyclic weighted composition operator; when and the symbols satisfy some conditions, weighted composition operator can be hypercyclic.

引用

页码：1043 / 1051

页数：9

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