Zero products of Toeplitz operators with harmonic symbols on the Bergman space of the unit ball

@misc{wang2026zero,
  title = {{Zero products of Toeplitz operators with harmonic symbols on the Bergman space of the unit ball}},
  author = {Jiawei Wang and Xianfeng Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26139},
  eprint = {2610.26139},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26139},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Zero products of Toeplitz operators with harmonic symbols on the Bergman space of the unit ball
AU  - Jiawei Wang
AU  - Xianfeng Zhao
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26139
UR  - https://arxiv.org/abs/2610.26139
AB  - 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 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.
ER  -