I. Louhichi, Fanilo Randriamahaleo, Lova Zakariasy
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On the Commutativity of a Certain Class of Toeplitz Operators
Abstract 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.
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