Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

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26 Citations (Scopus)

Abstract

The compact differences of composition operators acting on the weighted L 2-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse's characterization, as well as some related results, to the ball and, at the same time, to the weighted L p-Bergman space for the full range of p.

Original languageEnglish
Pages (from-to)81-102
Number of pages22
JournalPotential Analysis
Volume40
Issue number1
DOIs
Publication statusPublished - 2014 Jan

Keywords

  • Ball
  • Compact combination
  • Compact difference
  • Composition operator
  • Weighted Bergman space

ASJC Scopus subject areas

  • Analysis

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