Quasihomogeneous Toeplitz operators on the harmonic Bergman space

摘要

In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane mathbbC{mathbb{C}}. Mainly, we discuss when the product of two quasihomogeneous Toeplitz operators is also a Toeplitz operator, and when such operators commute.