Characterizations of Square Roots of Unitary Weighted Composition Operators on H2

Yoenha Kim, Eungil Ko

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study the square roots of unitary weighted composition operators on the Hardy space H2, i.e., Wf,φ when Wg,ψ=Wf,φ2 is unitary. In particular, we provide the explicit forms of the symbol functions φ and f of such Wf,φ. Moreover, we show that the square roots Wf,φ of a unitary weighted composition operator are normal. Finally, we investigate several properties of such Wf,φ.

Original languageEnglish
Article number14
JournalComplex Analysis and Operator Theory
Volume16
Issue number1
DOIs
StatePublished - Jan 2022

Keywords

  • Invariant subspace
  • Unitary weighted composition operator
  • Weighted composition operator

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