Toeplitz operators on large vector-valued Fock spaces
Functional Analysis
2025-04-22 v1
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.
Cite
@article{arxiv.2504.15239,
title = {Toeplitz operators on large vector-valued Fock spaces},
author = {Hicham Arroussi and Ghazaleh Asghari and Jani Virtanen},
journal= {arXiv preprint arXiv:2504.15239},
year = {2025}
}