Operators commuting with self-adjoint weighted composition operators on H 2

Eungil Ko

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study weighted composition operators (Formula presented.) commuting with self-adjoint weighted composition operators (Formula presented.) on the Hardy space (Formula presented.). In particular, we investigate which combinations of symbol functions g and ψ give rise to (Formula presented.) commuting with a self-adjoint weighted composition operator on (Formula presented.). We also show that these commuting weighted composition operators are normal.

Original languageEnglish
Pages (from-to)2076-2089
Number of pages14
JournalComplex Variables and Elliptic Equations
Volume66
Issue number12
DOIs
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • 47B20
  • 47B33
  • 47B38
  • Self-adjoint weighted composition operator
  • normal weighted composition operator
  • operators commuting with self-adjoint weighted composition operators

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