Toeplitz and Hankel Operators and Dixmier Traces on the unit ball of C

نویسندگان

  • Miroslav Englǐs
  • Kunyu Guo
  • Genkai Zhang
  • MIROSLAV ENGLIŠ
  • KUNYU GUO
  • GENKAI ZHANG
چکیده

We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy and weighted Bergman spaces on the unit ball of C. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators.

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تاریخ انتشار 2007