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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.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…
math.FA2024
Commutants of the sum of two quasihomogeneous Toeplitz operators
Aissa Bouhali, Issam Louhichi
A major open question in the theory of Toeplitz operator on the Bergman space of the unit disk of the complex plane is the complete characterization of the set of all Toeplitz oper…