Compact differences of weighted composition operators on the weighted Bergman spaces

Journal of Inequalities and Applications

Maocai Wang¹  Fen Chen²  Xingxing Yao² 

[1] School of Computer, China University of Geosciences;School of Mathematics and Statistics, Wuhan University;

关键词: weighted Bergman space;    weighted composition operator;    compact difference;   

DOI  :  10.1186/s13660-016-1277-8

来源: DOAJ

【 摘 要 】

Abstract In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Funct. Anal. 219:70-92, 2005).

【 授权许可】

Unknown