Mathématiques > Accueil > Avancées en Mathématiques Pures et Appliquées > Numéro 1 (Janvier 2022) > Article
Aastha Malhotra
University of Delhi
India
Anuradha Gupta
University of Delhi
India
Publié le 11 janvier 2022 DOI : 10.21494/ISTE.OP.2021.0758
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