Hypercyclicity of weighted composition operators on a weighted Dirichlet space

被引：17
|
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.
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页码：1043 / 1051
页数：9
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