Rigidity of composition operators on the Hardy space $H^p$

Jussi Laitila, Pekka J. Nieminen, Eero Saksman +1

Let $\varphi$ be an analytic map taking the unit disk $\mathbb{D}$ into itself. We establish that the class of composition operators $f\mapsto C_{\varphi }(f)=f\circ \varphi$ exhibits a rather stro…