Hankel operators and the Dixmier trace on strictly pseudoconvex domains

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SYSNO ASEP	0357382
Document Type	J - Journal Article
R&D Document Type	The record was not marked in the RIV
Subsidiary J	Článek ve WOS
Title	Hankel operators and the Dixmier trace on strictly pseudoconvex domains
Author(s)	Engliš, Miroslav (MU-W)_{RID, ORCID, SAI} Zhang, G. (SE)
Source Title	Documenta Mathematica. - : Deutsche Mathematiker Vereinigung - ISSN 1431-0643 Roč. 15, - (2010), s. 601-622
Number of pages	22 s.
Language	eng - English
Country	DE - Germany
Keywords	Hankel operator ; Dixmier trace ; Levi form
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
UT WOS	000282061700004
EID SCOPUS	77956167445
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1