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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Forthcoming papers   > Article

[Forthcoming] Complex symmetric weighted composition operators on weighted Hardy space

[Forthcoming] 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 14 December 2020   DOI :

Abstract

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In this paper various conditions under which a weighted composition operator $$$W_{\psi,\phi}$$$ on the weighted Hardy space $$$H^2(\beta)$$$ becomes complex symmetric with respect to some special conjugation have been explored. We also investigate some important properties of the complex symmetric operator $$$W_{\psi,\phi}$$$ such as hermiticity and isometry.

In this paper various conditions under which a weighted composition operator $$$W_{\psi,\phi}$$$ on the weighted Hardy space $$$H^2(\beta)$$$ becomes complex symmetric with respect to some special conjugation have been explored. We also investigate some important properties of the complex symmetric operator $$$W_{\psi,\phi}$$$ such as hermiticity and isometry.

Composition operator Complex symmetric Weighted Hardy space Conjugation

Composition operator Complex symmetric Weighted Hardy space Conjugation