Volterra type operators on growth Fock spaces

preprint2016arXivOpen access

Abstract

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

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