On the Commutativity of a Certain Class of Toeplitz Operators

On the Commutativity of a Certain Class of Toeplitz Operators

One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D 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 c...

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Veröffentlicht in:Concrete Operators 2014-01, Vol.2 (1), p.1-7
Hauptverfasser: Louhichi, Issam, Randriamahaleo, Fanilo, Zakariasy, Lova
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mellin transform
Toeplitz operator
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Zusammenfassung:One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D 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 defined on the harmonic Bergman space.
ISSN:2299-3282
2299-3282
DOI:10.2478/conop-2014-0001