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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…
math.CV2024
Commutant of 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 to fully characterize the set of all Toeplitz operators that…
math.MG2024
Analytic functions with hyperbolic range and Bohr's inequality
Yusuf Abu Muhanna, Issam Louhichi
We use properties of the hyperbolic metric and properties of the modular function to show that the Bohr's radius for covering maps onto hyperbolic domains is greater or equal to ex…