A Note on Weighted Composition Operators on the Weighted Bergman Space

作     者：Lian Kuo ZHAO Sheng Zhao HOU 

作者机构：School of Mathematics and Computer Science Shanxi Normal University School of Mathematics Science Soochow University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2015年第31卷第6期

页      面：947-952页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NSFC(Grant Nos.11201274,11171245,11471189) a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions 

主　　题：Weighted Bergman space weighted composition operator boundedness finite Blaschke product 

摘      要：This paper gives a note on weighted composition operators on the weighted Bergman space, which shows that for a fixed composition symbol, the weighted composition operators are bounded on the weighted Bergman space only with bounded weighted symbols if and only if the composition symbol is a finite Blaschke product.