# Compact differences of weighted composition operators on the weighted Bergman spaces

Journal of Inequalities and Applications, Jan 2017

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 ). MSC: 47B33, 30D55, 46E15.

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Maocai Wang, Xingxing Yao, Fen Chen. Compact differences of weighted composition operators on the weighted Bergman spaces, Journal of Inequalities and Applications, 2017, 2, DOI: 10.1186/s13660-016-1277-8