Toeplitz and Hankel operators and Dixmier traces on the unit ball of Cn
Journal article, 2009

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 ℂd. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators.

Hankel operators

Dixmier trace

Pseudo-Toeplitz operators

Boundary CR operators

Toeplitz operators

Schatten- von Neumann classes

Invariant Banach spaces

Pseudo-differential operators

Macaev classes



M. Englis

Czech Academy of Sciences

Slezska univerzita v Opave

K. Y. Guo

Fudan University

Genkai Zhang

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Proceedings of the American Mathematical Society

0002-9939 (ISSN) 1088-6826 (eISSN)

Vol. 137 11 3669-3678

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