| 加权复合算子从Bloch型空间到圆盘代数的拓扑结构 |
| |
| 引用本文： | 许丽葵,邓秀勤,刘军明.加权复合算子从Bloch型空间到圆盘代数的拓扑结构[J].广东工业大学学报,2021,38(3):62-64. |
| |
| 作者姓名： | 许丽葵 邓秀勤 刘军明 |
| |
| 作者单位： | 广东工业大学 应用数学学院，广东 广州 510520 |
| |
| 基金项目： | 国家自然科学基金资助项目(11801094) |
| |
| 摘 要： | 设A为圆盘代数,u和φ是A上的解析函数,刻画了加权复合算子uCφ从Bloch型空间到圆盘代数的一些范数估计.同时还研究了加权复合算子空间的道路连通性,得知任意2个有界加权复合算子是道路连通的.
|
| 关 键 词： | 拓扑结构 加权复合算子 Bloch型空间 圆盘代数 道路连通性 |
| 收稿时间： | 2020-07-22 |
The Topological Structure of Weighted Composition Operators from Bloch Type Spaces to the Disk Algebra |
| |
| Xu Li-kui,Deng Xiu-qin,Liu Jun-ming.The Topological Structure of Weighted Composition Operators from Bloch Type Spaces to the Disk Algebra[J].Journal of Guangdong University of Technology,2021,38(3):62-64. |
| |
| Authors: | Xu Li-kui Deng Xiu-qin Liu Jun-ming |
| |
| Affiliation: | School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China |
| |
| Abstract: | Let $ A$ be the disk algebra, $ u$ and $ \varphi $ be analytic functins on A, some estimates of weighted composition operators $ u{C_\varphi }$ from Bloch type spaces to the disk algebra are characterized. At the same time, the path connectedness of the space of weighted composition operators is investigated and a conclusion is derived that any two bounded weighted composition operators are pathwise connected. |
| |
| Keywords: | topological structure weighted composition operators Bloch type spaces disk algebra path connectedness |
|
| 点击此处可从《广东工业大学学报》浏览原始摘要信息 |
|
点击此处可从《广东工业大学学报》下载全文 |
