Zero products of Toeplitz operators with harmonic symbols on the Bergman space of the unit ball
Year: 2026
Type: preprint
Abstract: In this paper, using local boundary factorizations of harmonic functions and singular-value estimates for Toeplitz products, we study the zero-product problem for Toeplitz operators on the Bergman space of the unit ball in $\mathbb{C}^n$. We prove that a finite product of such operators is zero only if one of the symbols is identically zero, provided that all the symbols are harmonic on the open unit ball and continuous on the closed unit ball.
Source: arXiv (Cornell University)
Authors: Wang, Jiawei, Zhao, Xianfeng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5351725556
OpenAlex ID: W7223035965