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On self-commutators of Toeplitz operators with rational symbols

Tom 179 / 2007

Sherwin Kouchekian, James E. Thomson Studia Mathematica 179 (2007), 41-47 MSC: Primary 32A36; Secondary 47B35, 47B38. DOI: 10.4064/sm179-1-4

Streszczenie

We prove that the self-commutator of a Toeplitz operator with unbounded analytic rational symbol has a dense domain in both the Bergman space and the Hardy space of the unit disc. This is a basic step towards establishing whether the self-commutator has a compact or trace-class extension.

Autorzy

  • Sherwin KouchekianDepartment of Mathematics & Statistics
    University of South Alabama
    Mobile, AL 36668, U.S.A.
    e-mail
  • James E. ThomsonDepartment of Mathematics
    Virginia Tech
    Blacksburg, VA 24061, U.S.A.
    e-mail

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