title: Compact differences of weighted composition operators on the weighted Bergman spaces.
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).
authors.affiliation: School of Computer, China University of Geosciences, Wuhan, 430074 China.
authors.forename: Maocai
authors.initials: M
authors.lastname: Wang
authors.affiliation: School of Mathematics and Statistics, Wuhan University, Wuhan, 430072 China.
authors.forename: Xingxing
authors.initials: X
authors.lastname: Yao
authors.affiliation: School of Mathematics and Statistics, Wuhan University, Wuhan, 430072 China.
authors.forename: Fen
authors.initials: F
authors.lastname: Chen
keywords: compact difference; weighted Bergman space; weighted composition operator