English

On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space

Complex Variables 2025-06-26 v3 Operator Algebras

Abstract

In this paper, we provide a complete characterization of bounded Toeplitz operators TfT_f on the harmonic Bergman space of the unit disk, where the symbol ff has a polar decomposition truncated above, that commute with Tz+gˉT_{z+\bar{g}}, for a bounded analytic function gg.

Keywords

Cite

@article{arxiv.2503.09112,
  title  = {On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space},
  author = {H. Iqtaish and I. Louhichi and A. Yousef},
  journal= {arXiv preprint arXiv:2503.09112},
  year   = {2025}
}
R2 v1 2026-06-28T22:17:11.207Z