Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space

摘要

One of the major goals in the theory of Toeplitz operators on the Bergmanspace over the unit disk $\mathbb{D}$ in the complex place $\mathbb{C}$ is tocompletely describe the commutant of a given Toeplitz operator, that is, theset of all Toeplitz operators that commute with it. Here we shall study thecommutants of a certain class of quasihomogeneous Toeplitz operators.