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

Research output: Contribution to journalArticle

Abstract

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
Volume65
Issue number3
DOIs
StateAccepted/In press - Jan 1 2019

Fingerprint

Weighted Composition Operator
Hilbert spaces
Hardy Space
Half-plane
Hilbert
Mathematical operators
Constant function
Invertibility
Composition Operator
Operator
Chemical analysis
Spectral Properties
Normality
Weight Function
Function Space
Compactness
Boundedness

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

Weighted composition operators on the Hilbert Hardy space of a half-plane. / Matache, Valentin.

In: Complex Variables and Elliptic Equations, Vol. 65, No. 3, 03.03.2020, p. 498-524.

Research output: Contribution to journalArticle

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