Adjoint of Sandwich Weighted Composition Operator on Weighted Hardy Spaces

Abstract

Let $\mathbb{D}$ be the open unit disc in the finite complex plane $\mathbb{C}$. A sandwich weighted composition operator $S_{\psi, \varphi}$ takes an analytic map $f$ on the open unit disc $\mathbb{D}$ to the map $(\psi.f^{\prime}o\varphi)^{\prime}$, where $\varphi$ is an analytic map of $\mathbb{D}$ into itself and $\psi$ is an analytic map on $\mathbb{D}$. In this paper, we compute the adjoint of a sandwich weighted composition operator $S_{\psi, \varphi}$ on weighted Hardy spaces.