SCHATTEN-CLASS GENERALIZED VOLTERRA COMPANION INTEGRAL OPERATORS

We study the Schatten-class membership of generalized Volterra companion integral operators on the standard Fock spaces F-alpha(2). The Schatten S-p(F-alpha(2)) membership of the operators are characterized in terms of L-P/2-integrability of certain generalized Berezin-type integral transforms on the complex plane. We also give a more simplified and easy-to-apply description in terms of L-P-integrability of the symbols inducing the operators against super-exponentially decreasing weights. Asymptotic estimates for the S-p(F-alpha(2)) norms of the operators have also been provided.