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arXiv · 2504.15239

Toeplitz operators on large vector-valued Fock spaces

Hicham Arroussi·Ghazaleh Asghari·Jani Virtanen
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Abstract

We characterize boundedness and compactness of Toeplitz operators on large vector-valued Fock spaces with Dall'Ara's weights [Adv.\ Math., 285 (2015) 1706--1740] in terms of generalized Berezin transforms, averaging functions, and Carleson measures. To determine Schatten class Toeplitz operators, we introduce the operator-valued Berezin transform and averaging functions.

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Hicham Arroussi, Ghazaleh Asghari, Jani Virtanen. 2025-04-21. Toeplitz operators on large vector-valued Fock spaces. https://arxiv.org/abs/2504.15239

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