Power boundedness and related properties for weighted composition operators on $\mathcal{S}({\mathbb{R}}^d)$

Vicente Asensio, Enrique Jordá, Thomas Kalmes

We characterize those pairs $(\psi ,\phi )$ of smooth mappings $\psi :{\mathbb{R}}^d\to \mathbb{C},\phi :{\mathbb{R}}^d\to {\mathbb{R}}^d$ for which the corresponding weighted composition…