Difference of Weighted Composition Operators Over the Ball

Boo Rim Choe, Koeun Choi, Hyung Woon Koo, Inyoung Park

Research output: Contribution to journalArticlepeer-review

Abstract

Recently, Choe et al. obtained characterizations for bounded/compact differences of weighted composition operators acting from a standard weighted Bergman space into another over the unit disk. In this paper we extend those results to the ball setting. By devising a new approach regarding test functions, we improve the characterizations as well as the proofs. Namely, the Reproducing Kernel Thesis is added to the characterizations and our proofs, when restricted to the disk, are new and simpler.

Original languageEnglish
Article number33
JournalComplex Analysis and Operator Theory
Volume18
Issue number2
DOIs
Publication statusPublished - 2024 Feb

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Keywords

  • Bergman space
  • Boundedness
  • Carleson measure
  • Compactness
  • Difference
  • Primary 47B33
  • Reproducing Kernel Thesis
  • Secondary 32A36
  • Weighted composition operator

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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