Topological structure of the space of (weighted) composition operators between Fock spaces in several variables

Abstract

We give explicit descriptions of all path connected components and isolated points of both spaces of composition operators and nonzero weighted composition operators acting from a Fock space $\mathcal{F}^p(\mathbb{C}^n)$ to another one $\mathcal{F}^q(\mathbb{C}^n)$.