On the commuting problem of Toeplitz operators on the harmonic Bergman space
In this paper, we provide a complete characterization of bounded Toeplitz operators $ T_f $ on the harmonic Bergman space of the unit disk, where the symbol $ f $ has a polar decomposition truncated above, that commute with $ T_{z+\bar{g}} $ for a bounded analytic function $ g $.
Authors
- A. Yousef (ORCID: https://orcid.org/0000-0002-7514-4813)
- Issam Louhichi (ORCID: https://orcid.org/0000-0002-3481-9212)
- Hasan Iqtaish
Institutions
- American University of Sharjah (AE)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025770
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00