Differences of composition operators on weighted Bergman spaces

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We obtain a new boundedness criterion for the difference of two composition operators from a weighted Bergman space Aαp into a Lebesgue space Lq(μ) , where 0 < q< p and α> - 1. As a consequence, we provide a direct proof that such a bounded difference operator is necessarily compact. We also characterize compact differences of composition operators from Aαp into Aβq explicitly for 0 < p≤ q and α, β> - 1.

Original languageEnglish
JournalRicerche di Matematica
Publication statusPublished - 8 May 2021


  • Bounded
  • Compact
  • Composition operator
  • Difference
  • Weighted Bergman space


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