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arXiv · 1505.07262

Generalized Volterra companion operators on Fock spaces

Tesfa Mengestie
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Abstract

We characterize the bounded and compact generalized Volterra companion integral operators on Fock spaces acting between the standard Fock spaces. As a special case, we prove that there exist no nontrivial compact Volterra companion integral and multiplication operators on Fock spaces. We also obtain asymptotic estimates for the norm of these operators.

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Tesfa Mengestie. 2015-05-27. Generalized Volterra companion operators on Fock spaces. https://arxiv.org/abs/1505.07262

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