# 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

University of Delhi
India

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

### Keywords

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.