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Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space

2013/07/29 by Issam Louhichi, Louhichi, Issam, Fanilo Randriamahaleo +3
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1307.7649

Abstract

One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk \mathbbD in the complex place 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.

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