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Statements

Subject Item
n2:RIV%2F47813059%3A19610%2F10%3A%230000278%21RIV11-MSM-19610___
rdf:type
n10:Vysledek skos:Concept
dcterms: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. 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.
dcterms:title
Hankel operators and the Dixmier trace on strictly pseudoconvex domains Hankel operators and the Dixmier trace on strictly pseudoconvex domains
skos:prefLabel
Hankel operators and the Dixmier trace on strictly pseudoconvex domains Hankel operators and the Dixmier trace on strictly pseudoconvex domains
skos:notation
RIV/47813059:19610/10:#0000278!RIV11-MSM-19610___
n4:aktivita
n6:P n6:Z
n4:aktivity
P(IAA100190802), Z(MSM4781305904)
n4:cisloPeriodika
srpen
n4:dodaniDat
n7:2011
n4:domaciTvurceVysledku
n15:3018636
n4:druhVysledku
n8:J
n4:duvernostUdaju
n14:S
n4:entitaPredkladatele
n19:predkladatel
n4:idSjednocenehoVysledku
261180
n4:idVysledku
RIV/47813059:19610/10:#0000278
n4:jazykVysledku
n18:eng
n4:klicovaSlova
Dixmier trace; Toeplitz operator; Hankel operator; Bergman space; Hardy space; strictly pseudoconvex domain; pseudodifferential operator; Levi form
n4:klicoveSlovo
n11:Bergman%20space n11:Hardy%20space n11:Toeplitz%20operator n11:Levi%20form n11:strictly%20pseudoconvex%20domain n11:Hankel%20operator n11:Dixmier%20trace n11:pseudodifferential%20operator
n4:kodStatuVydavatele
DE - Spolková republika Německo
n4:kontrolniKodProRIV
[082601F36C00]
n4:nazevZdroje
Documenta Mathematica
n4:obor
n16:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n5:IAA100190802
n4:rokUplatneniVysledku
n7:2010
n4:svazekPeriodika
15
n4:tvurceVysledku
Zhang, Genkai Engliš, Miroslav
n4:wos
000282061700004
n4:zamer
n17:MSM4781305904
s:issn
1431-0643
s:numberOfPages
22
n13:organizacniJednotka
19610