About: Hankel operators and the Dixmier trace on strictly pseudoconvex domains     Goto   Sponge   NotDistinct   Permalink

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  • 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. (en)
Title
  • Hankel operators and the Dixmier trace on strictly pseudoconvex domains
  • Hankel operators and the Dixmier trace on strictly pseudoconvex domains (en)
skos:prefLabel
  • Hankel operators and the Dixmier trace on strictly pseudoconvex domains
  • Hankel operators and the Dixmier trace on strictly pseudoconvex domains (en)
skos:notation
  • RIV/47813059:19610/10:#0000278!RIV11-MSM-19610___
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  • P(IAA100190802), Z(MSM4781305904)
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  • 261180
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  • RIV/47813059:19610/10:#0000278
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  • Dixmier trace; Toeplitz operator; Hankel operator; Bergman space; Hardy space; strictly pseudoconvex domain; pseudodifferential operator; Levi form (en)
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  • DE - Spolková republika Německo
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  • [082601F36C00]
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  • Documenta Mathematica
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  • 15
http://linked.open...iv/tvurceVysledku
  • Engliš, Miroslav
  • Zhang, Genkai
http://linked.open...ain/vavai/riv/wos
  • 000282061700004
http://linked.open...n/vavai/riv/zamer
issn
  • 1431-0643
number of pages
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  • 19610
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