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

J Inequal Appl

School of Mathematics and Statistics, Wuhan University, Wuhan, 430072 China.

Published: January 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).

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5209450PMC
http://dx.doi.org/10.1186/s13660-016-1277-8DOI Listing

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