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Volterra Type and Weighted Composition Operators on Weighted Fock Spaces

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Abstract

Bounded and compact product of Volterra type integral and composition operators acting between weighted Fock spaces are described. We also estimate the norms of these operators in terms of Berezin type integral transforms on the complex plan \({\mathbb{C}}\) . All our results are valid for weighted composition operators acting on the class of Fock spaces considered under appropriate interpretation of the weights.

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  1. Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491, Trondheim, Norway

    Tesfa Mengestie

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  1. Tesfa Mengestie
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Correspondence to Tesfa Mengestie.

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Mengestie, T. Volterra Type and Weighted Composition Operators on Weighted Fock Spaces. Integr. Equ. Oper. Theory 76, 81–94 (2013). https://doi.org/10.1007/s00020-013-2050-8

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  • DOI: https://doi.org/10.1007/s00020-013-2050-8

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