Volterra type operators on growth Fock spaces

Abstract

Let $\omega$ be an unbounded radial weight on ${\mathbb{C}}^d$, $d\ge 1$. Using results related to approximation of $\omega$ by entire maps, we investigate Volterra type and weighted composition operators defined on the growth space ${\mathcal{A}}^{\omega }({\mathbb{C}}^d)$. Special attention is given to the operators defined on the growth Fock spaces.

9 pages