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arXiv · 2607.17170

Weighted composition operators on weighted Fock spaces

Somdatta Barik·Anirban Sen·Kallol paul
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Abstract

We provide a complete characterization of the bounded, compact, and Hilbert-Schmidt class weighted composition operators acting on weighted Fock spaces, extending the classical Fock space characterization due to Le [11]. An estimate for the essential norm of these operators is also provided. Our approach relies on the asymptotic behavior of the Mittag-Leffler function. As applications, we establish explicit criteria for weighted composition operators with exponential weights and recover corresponding results for composition operators.

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Somdatta Barik, Anirban Sen, Kallol paul. 2026-07-19. Weighted composition operators on weighted Fock spaces. https://arxiv.org/abs/2607.17170

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