Work

On the commuting problem of Toeplitz operators on the harmonic Bergman space

Year: 2025

Type: article

Abstract: 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 $.

Source: AIMS Mathematics

DOI: 10.3934/math.2025770

Authors: Hasan Iqtaish, Issam Louhichi, Abdelrahman Yousef

Institution: American University of Sharjah

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4412781960