Toeplitz operators on pluriharmonic Fock spaces
Complex Variables
2026-05-25 v1
Abstract
In this paper, we study Toeplitz operators with a positive symbol on pluriharmonic Fock spaces over We characterize the conditions under which the Toeplitz operator is bounded, compact, or belongs to the Schatten class . Furthermore, we give a necessary condition for a Toeplitz operator to belong to for and under an additional assumption, we prove the sufficiency of the condition.
Cite
@article{arxiv.2605.23256,
title = {Toeplitz operators on pluriharmonic Fock spaces},
author = {Vladan Jaguzović and Đorđije Vujadinović},
journal= {arXiv preprint arXiv:2605.23256},
year = {2026}
}
Comments
11 pages