Dynamics of Weighted Composition Operators

被引：23

作者：

Bes, Juan ^{[1
]}

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2014年 / 8卷 / 01期

关键词：

Composition operators; Chaotic operators; Hypercyclic operators; Supercyclic operators; BANACH-SPACES; HYPERCYCLICITY; UNIVERSAL; PROPERTY;

D O I：

10.1007/s11785-012-0281-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the dynamic behaviour of weighted composition operators on the space of holomorphic functions on a simply connected plane domain and endowed with the compact open topology. Any such operator is weakly supercyclic if and only if it is topologically mixing and, when the weight is bounded, if and only if the operator has a hypercyclic subspace. We also provide conditions on the symbols that ensure the operator to be Devaney-chaotic and to have a frequently hypercyclic subspace.

引用

页码：159 / 176

页数：18

共 50 条

[1] Dynamics of Weighted Composition Operators
Juan Bès
[J]. Complex Analysis and Operator Theory, 2014, 8 : 159 - 176
[2] Dynamics of weighted composition operators in the unit ball
Fang, Zhong-Shan
Zhou, Ze-Hua
[J]. COMPTES RENDUS MATHEMATIQUE, 2019, 357 (03) : 278 - 283
[3] Dynamics of composition operators on weighted Bergman spaces
Zhang, Liang
Zhou, Ze-Hua
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2016, 27 (01): : 406 - 418
[4] Weighted composition operators on Fock spaces and their dynamics
Carroll, Tom
Gilmore, Clifford
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 502 (01)
[5] Dynamics of weighted composition operators on weighted Banach spaces of entire functions
Beltran-Meneu, Maria J.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 492 (01)
[6] Dynamics of Weighted Composition Operators and Their Adjoints on the Fock Space
Tesfa Mengestie
[J]. Complex Analysis and Operator Theory, 2022, 16
[7] Dynamics of Weighted Composition Operators and Their Adjoints on the Fock Space
Mengestie, Tesfa
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (02)
[8] On the Weighted Composition Operators
Jahedi, K.
Jahedi, S.
[J]. JOURNAL OF MATHEMATICAL EXTENSION, 2007, 2 (1-2) : 141 - 148
[9] WEIGHTED COMPOSITION OPERATORS
KAMOWITZ, H
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1986, 84 : 397 - 399
[10] Weighted composition operators and differences of composition operators between weighted Bergman spaces
Tong, Cezhong
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (07) : 1677 - 1697

← 1 2 3 4 5 →