Toeplitz and Hankel operators and Dixmier traces on the unit ball of mathbb C^n
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🧮 math.CV
math.FA
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operatorsdixmiertoeplitztraceballmathbbunitanti-symmetrization
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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 \mathbb C^d. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators.
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