Compact weighted composition operators on Hp-spaces

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Abstract

Let u and ψ be two analytic functions on the unit disc D such that ψ(D) ⊂ D. A weighted composition operator uC ψ induced by u and ψ is defined by uC ψ f := u · f o ψ for every f in H p , the Hardy space of D. We investigate compactness of uC ψ on H p in terms of function-theoretic properties of u and ψ.

Original languageEnglish
Pages (from-to)473-484
Number of pages12
JournalBulletin of the Australian Mathematical Society
Volume99
Issue number3
DOIs
Publication statusPublished - 1 Jun 2019

Keywords

  • compact operators
  • Hardy spaces
  • weighted composition operators

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