1 citations · 1 across the 11 of their papers we have counts for
11 papers
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…
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…
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…
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…
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…
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…
On the commutativity of a certain class of Toeplitz operators
Hashem Alsabi, Issam Louhichi
In this paper we prove that if the polar decomposition of a symbol is truncated above, i.e., where the 's are radial functi…
On the commutativity of sums of Toeplitz operators on the Bergman space
Khitam Aqel, Issam Louhichi
In this paper, we discuss the commutativity of sums of two quasihomogeneous Toeplitz operators on the Bergman space of the unit disc. Our main result goes in the direction of the c…
Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space
Issam Louhichi, Fanilo Randriamahaleo, Lova Zakariasy
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk in the complex place is to completely describe the comm…
Quasihomogeneous Toeplitz operators on the harmonic Bergman space
Issam Louhichi, Lova Zakariasy
In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomo…
Roots of Toeplitz Operators on the Bergman space
Issam Louhichi, N. V. Rao
One of the major questions in the theory of Toeplitz operators on the Bergman space over the unit disk in the complex plane is a complete description of the…