5 papers · 1 filter
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…
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…
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…
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…