Dynamics of composition operators on weighted Bergman spaces

被引：8

作者：

Zhang, Liang ^{[1
]}

Zhou, Ze-Hua ^{[2
,3
]}

机构：

[1] Tianjin Univ, Sch Marine Sci & Technol, Tianjin 300072, Peoples R China

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

[3] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2016年 / 27卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Frequently hypercyclic; Disjoint hypercyclic; Composition operators; Weighted Bergman spaces; UNIT BALL; HYPERCYCLICITY;

D O I：

10.1016/j.indag.2015.11.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the frequent hypercyclicity and hypercyclicity of multiples of the linear fractional composition operators on A(alpha)(P) and give equivalent conditions of the frequent hypercyclicity and hypercyclicity. We also characterize disjoint hypercyclicity and disjoint mixing behavior of finitely many linear fractional composition operators on the weighted Bergman spaces A(alpha)(P). (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：406 / 418

页数：13

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