adjoint of sandwich weighted composition operator on weighted hardy spaces

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 $(psi.f^{prime}ovarphi)^{prime}$, 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.