加权复合算子从Bloch型空间到圆盘代数的拓扑结构  

The Topological Structure of Weighted Composition Operators from Bloch Type Spaces to the Disk Algebra

作　　者：许丽葵 邓秀勤[1] 刘军明 Xu Li-kui;Deng Xiu-qin;Liu Jun-ming(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510520,China)

机构地区：[1]广东工业大学应用数学学院,广东广州510520

出　　处：《广东工业大学学报》2021年第3期62-64,共3页Journal of Guangdong University of Technology

基　　金：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。Let A be the disk algebra, u and φ be analytic functins on A, some estimates of weighted composition operators u Cφ 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.

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 

分 类 号：O174.5[理学—数学]