@ARTICLE{10.21494/ISTE.OP.2021.0758, TITLE={Complex symmetric weighted composition operators on weighted Hardy space}, AUTHOR={Aastha Malhotra, Anuradha Gupta, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={13}, NUMBER={Issue 1 (January 2022)}, YEAR={2022}, URL={https://www.openscience.fr/Complex-symmetric-weighted-composition-operators-on-weighted-Hardy-space}, DOI={10.21494/ISTE.OP.2021.0758}, ISSN={1869-6090}, ABSTRACT={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.}}