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Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space (1307.7649v2)
Published 29 Jul 2013 in math.FA
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.