English

Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space

Functional Analysis 2013-08-01 v2

Abstract

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

Keywords

Cite

@article{arxiv.1307.7649,
  title  = {Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space},
  author = {Issam Louhichi and Fanilo Randriamahaleo and Lova Zakariasy},
  journal= {arXiv preprint arXiv:1307.7649},
  year   = {2013}
}