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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Numéro 1 (Janvier 2022)   > Article

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

Complex symmetric weighted composition operators on weighted Hardy space


Aastha Malhotra
University of Delhi
India

Anuradha Gupta
University of Delhi
India



Publié le 11 janvier 2022   DOI : 10.21494/ISTE.OP.2021.0758

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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