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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 1 (January 2022)   > Article

Complex symmetric weighted composition operators on weighted Hardy space

Opérateurs de composition pondérés symétriques complexes sur un espace de Hardy à poids


Aastha Malhotra
University of Delhi
India

Anuradha Gupta
University of Delhi
India



Published on 11 January 2022   DOI : 10.21494/ISTE.OP.2021.0758

Abstract

Résumé

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In this paper various conditions under which a weighted composition operator Wψ,ϕ on the weighted Hardy space H2(β) becomes complex symmetric with respect to some special conjugation have been explored. We also investigate some important properties of the complex symmetric operator Wψ,ϕ such as hermiticity and isometry.

In this paper various conditions under which a weighted composition operator Wψ,ϕ on the weighted Hardy space H2(β) becomes complex symmetric with respect to some special conjugation have been explored. We also investigate some important properties of the complex symmetric operator Wψ,ϕ such as hermiticity and isometry.

Composition operator Complex symmetric Weighted Hardy space Conjugation

Composition operator Complex symmetric Weighted Hardy space Conjugation

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