Hankel operators and the Dixmier trace on strictly pseudoconvex domains

0357382 - MÚ 2011 DE eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA100190802
Klíčová slova: Hankel operator * Dixmier trace * Levi form
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.620, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0195670