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April 2016 Schatten-class generalized Volterra companion integral operators
Tesfa Mengestie
Banach J. Math. Anal. 10(2): 267-280 (April 2016). DOI: 10.1215/17358787-3492743

Abstract

We study the Schatten-class membership of generalized Volterra companion integral operators on the standard Fock spaces Fα2. The Schatten Sp(Fα2) membership of the operators are characterized in terms of Lp/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 Lp-integrability of the symbols inducing the operators against super-exponentially decreasing weights. Asymptotic estimates for the Sp(Fα2) norms of the operators have also been provided.

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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

Information

Received: 11 April 2015; Accepted: 7 June 2015; Published: April 2016
First available in Project Euclid: 15 March 2016

zbMATH: 1341.47026
MathSciNet: MR3474839
Digital Object Identifier: 10.1215/17358787-3492743

Subjects:
Primary: 47B32
Secondary: ‎46E20‎, 46E22, 47B33

Rights: Copyright © 2016 Tusi Mathematical Research Group

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Vol.10 • No. 2 • April 2016
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