小Bloch空间和Besov空间上加权复合算子的超循环性

Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space

作者：周宁(天津大学数学学院)；陈翠(天津财经大学数学系)

Author：ZHOU Ning(School of Mathematics,Tianjin University)；CHEN Cui(Department of Mathematics, Tianjin University of Finance and Economics)

收稿日期：2017-05-04 年卷（期）页码：2017,54(6):1131-1135

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：加权复合算子;超循环性;小Bloch空间;Besov空间

Key words：Weighted composition operators,Hypercyclicity,Little Bloch Space,Besov space

基金项目：国家自然科学基金

中文摘要

文章主要描述了小Bloch空间和Besov空间上加权复合算子的超循环性.证明了解析自映射是自同构时,加权复合算子(权为复数时)在小Bloch空间和Besov空间上都不是超循环的,同时给出解析自映射是非自同构时,权在一定条件下,加权复合算子在小Bloch空间和Besov空间上的超循环性.

英文摘要

We characterize the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space.We obtain that there are no hypercyclic composition operators on the Little Bloch Space and the Besov space when holomorphic self-map is an automorphism.And when holomorphic self-map is a non-automorphism,we discuss the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space under certain conditions.

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论文摘要

小Bloch空间和Besov空间上加权复合算子的超循环性

Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space