On the commutativity of a certain class of Toeplitz operators

Issam Louhichi (1) , Fanilo Rajaofetra Randriamahaleo (2) , Lova Zakariasy (3)

1 Department of Mathematics & Statistics, Dhahran 31261, Saudi Arabia
2 Équipe Analyse
3 High Institute of Technology, Industrial Engineering Department, 201 Antsiranana, Madagascar

One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with it. Here we shall study the commutants of a certain class of quasihomogeneous Toeplitz operators defined on the harmonic Bergman space.

Mots clés: Toeplitz operator; Mellin transform

Domaines: Analyse fonctionnelle [math.FA]

Issam Louhichi, Fanilo Rajaofetra Randriamahaleo, Lova Zakariasy. On the commutativity of a certain class of Toeplitz operators. Concrete Operators, 2014, 2 (1), pp.1-7. ⟨10.2478/conop-2014-0001⟩. ⟨hal-01024563⟩