3 papers
math.FA2026
Commuting Toeplitz operators with biharmonic symbols
Aissa Bouhali, Issam Louhichi, Abdelrahman Yousef
We investigate the commutant problem for Toeplitz operators on the Bergman space of the unit disk whose symbols belong to a subclass of biharmonic functions. We obtain a complete c…
math.CV2025
On the Commuting Problem of Toeplitz Operators on the Harmonic Bergman Space
H. Iqtaish, I. Louhichi, A. Yousef
In this paper, we provide a complete characterization of bounded Toeplitz operators on the harmonic Bergman space of the unit disk, where the symbol has a polar decomposi…
math.FA2025
Commutants of a certain class of Toeplitz operators
Aissa Bouhali, Issam Louhichi, Abdel Rahman Yousef
A major open problem in the Theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator--tha…