Product of Volterra type integral operators and composition operators between generalized Fock spaces

Abstract:

In this paper, we obtain the equivalent characterizations for the boundedness,compactness, and Schatten class properties of the product of Volterra type integral andcomposition operators between generalized Fock spaces in terms of certain Berezin transforms on the complex plane C. We also estimate the essential norms of these operators in terms of the Berezin transformations.

Key words:Volterra operator; Composition operator; Generalized Fock space; Berezin integral transformation