Hankel operators and the Dixmier trace on strictly pseudoconvex domains

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F10%3A%230000278" target="_blank" >RIV/47813059:19610/10:#0000278 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Hankel operators and the Dixmier trace on strictly pseudoconvex domains

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA100190802" target="_blank" >IAA100190802: Function theory and operator theory in Bergman spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Documenta Mathematica

ISSN

1431-0643

e-ISSN

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Volume of the periodical

15

Issue of the periodical within the volume

srpen

Country of publishing house

DE - GERMANY

Number of pages

22

Pages from-to

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UT code for WoS article

000282061700004

EID of the result in the Scopus database

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