Toeplitz and Hankel operators and Dixmier traces on the unit ball of \mathbb C^n
Complex Variables
2007-07-16 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.0707.2025,
title = {Toeplitz and Hankel operators and Dixmier traces on the unit ball of \mathbb C^n},
author = {M. Englis and K. Guo and G. Zhang},
journal= {arXiv preprint arXiv:0707.2025},
year = {2007}
}
Comments
Proc. Amer. Math. Soc. to appear