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arXiv · 1307.7649

Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space

Issam Louhichi·Fanilo Randriamahaleo·Lova Zakariasy
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Abstract

One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk $\mathbb{D}$ in the complex place $\mathbb{C}$ 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.

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Issam Louhichi, Fanilo Randriamahaleo, Lova Zakariasy. 2013-07-31. Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space. https://arxiv.org/abs/1307.7649

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