Abstract
We study the Schatten-class membership of generalized Volterra companion integral operators on the standard Fock spaces . The Schatten membership of the operators are characterized in terms of -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 -integrability of the symbols inducing the operators against super-exponentially decreasing weights. Asymptotic estimates for the norms of the operators have also been provided.
Citation
Tesfa Mengestie. "Schatten-class generalized Volterra companion integral operators." Banach J. Math. Anal. 10 (2) 267 - 280, April 2016. https://doi.org/10.1215/17358787-3492743
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