Weighted composition operators on the Hilbert Hardy space of a half-plane

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Operators of type f → ψf ◦ ϕ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators. We consider weighted composition operators acting on the Hilbert Hardy space of a half-plane and study compactness, boundedness, invertibility, normality and spectral properties of such operators.

Original languageEnglish (US)
Pages (from-to)498-524
Number of pages27
JournalComplex Variables and Elliptic Equations
Issue number3
Publication statusPublished - Mar 3 2020



  • Primary 47B33
  • Secondary 46E20
  • Weighted composition operators
  • spaces of analytic functions

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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