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Compact differences of weighted composition operators on the weighted Bergman spaces

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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… Click to show full 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).

Keywords: weighted composition; compact differences; composition operators; differences weighted; weighted bergman

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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