Hankel operators and the Dixmier trace on strictly pseudoconvex domains

0357382 - MÚ 2011 DE eng J - Journal Article
Engliš, Miroslav - Zhang, G.
Hankel operators and the Dixmier trace on strictly pseudoconvex domains.
Documenta Mathematica. Roč. 15, - (2010), s. 601-622. ISSN 1431-0643. E-ISSN 1431-0643
R&D Projects: GA AV ČR IAA100190802
Keywords : Hankel operator * Dixmier trace * Levi form
Subject RIV: BA - General Mathematics
Impact factor: 0.620, year: 2010
http://www.math.uiuc.edu/documenta/vol-15/18.html

Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2(n) Hankel operators on Bergman spaces of strictly pseudoconvex domains in C-n. The answer turns out to involve the dual Levi form evaluated on boundary derivatives of the symbols. Our main tool is the theory of generalized Toeplitz operators due to Boutet de Monvel and Guillemin.
Permanent Link: http://hdl.handle.net/11104/0195670