| 小Bloch空间和Besov空间上加权复合算子的超循环性 |
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| 引用本文： | 周宁,陈翠.小Bloch空间和Besov空间上加权复合算子的超循环性[J].四川大学学报(自然科学版),2017,54(6):1131-1135. |
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| 作者姓名： | 周宁 陈翠 |
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| 作者单位： | 天津大学数学学院 |
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| 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.
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| 关 键 词： | 加权复合算子 超循环性 小Bloch空间 Besov空间 |
| 收稿时间： | 2017/5/4 0:00:00 |
| 修稿时间： | 2017/5/23 0:00:00 |
Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space |
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| ZHOU Ning and CHEN Cui.Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space[J].Journal of Sichuan University (Natural Science Edition),2017,54(6):1131-1135. |
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| Authors: | ZHOU Ning and CHEN Cui |
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| Institution: | School of Mathematics,Tianjin University |
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| Abstract: | 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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| Keywords: | Weighted composition operators Hypercyclicity Little Bloch Space Besov space |
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