English

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 Cn.\mathbb{C}^{n}. We characterize the conditions under which the Toeplitz operator TμT_\mu is bounded, compact, or belongs to the Schatten class S1S_1. Furthermore, we give a necessary condition for a Toeplitz operator to belong to SpS_p for p1,p \geq 1, and under an additional assumption, we prove the sufficiency of the condition.

Keywords

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

R2 v1 2026-07-22T07:27:39.409Z