Article

Complex Analysis and Operator Theory

, Volume 2, Issue 3, pp 429-439

First online:

Finite Rank Commutators and Semicommutators of Quasihomogeneous Toeplitz Operators

  • Z̆eljko C̆uc̆kovićAffiliated withDepartment of Mathematics, College of Arts and Sciences, The University of Toledo
  • , Issam LouhichiAffiliated withDepartment of Mathematics, College of Arts and Sciences, The University of Toledo Email author 

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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