English

Quasihomogeneous Toeplitz operators on the harmonic Bergman space

Functional Analysis 2011-08-08 v2 Operator Algebras

Abstract

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 quasihomogeneous Toeplitz operators is also a Toeplitz operator, and when such operators commute.

Keywords

Cite

@article{arxiv.1107.3951,
  title  = {Quasihomogeneous Toeplitz operators on the harmonic Bergman space},
  author = {Issam Louhichi and Lova Zakariasy},
  journal= {arXiv preprint arXiv:1107.3951},
  year   = {2011}
}
R2 v1 2026-06-21T18:39:21.203Z