D. Borgohain

Weighted composition operators on spaces of functions with derivative in Mixed-Norm and Hardy spaces

Let \(\varphi\) be an analytic self-map of the open unit disk \(\mathbb{D}\) in the complex plane. For any function \(\psi\) analytic in the unit disk \(\mathbb{D}\), the weighted composition operator is given by \(W_{\varphi,\psi}f(z)=\psi(z) f(\varphi(z))\) for \(z\in \mathbb{D}\) and \(f\) analytic on \(\mathbb{D}\)...