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

University of Delhi
India

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

### Mots-clés

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.