Complex Analysis and Operator Theory

, Volume 2, Issue 3, pp 429–439 | Cite as

Finite Rank Commutators and Semicommutators of Quasihomogeneous Toeplitz Operators

Article

Abstract.

We study finite rank semicommutators and commutators of Toeplitz operators on the Bergman space with quasihomogeneous symbols. We show that in this context, the situation is different from the case of harmonic Toeplitz operators.

Keywords.

Toeplitz operators semicommutators commutators Mellin transform finite rank operators 

Mathematics Subject Classification (2000).

Primary 47B35 Secondary 47L80 

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Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  1. 1.Department of Mathematics, College of Arts and SciencesThe University of ToledoToledoUSA

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