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March 2012 Schatten p-class property of pseudodifferential operators with symbols in modulation spaces
Masaharu Kobayashi, Akihiko Miyachi
Nagoya Math. J. 205: 119-148 (March 2012). DOI: 10.1215/00277630-1543796

Abstract

It is proved that the pseudodifferential operators σt(X,D) belong to the Schatten p-class Cp, 0<p2, if the symbol σ(x,ω) is in certain modulation spaces on Rxd×Rωd.

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Masaharu Kobayashi. Akihiko Miyachi. "Schatten p-class property of pseudodifferential operators with symbols in modulation spaces." Nagoya Math. J. 205 119 - 148, March 2012. https://doi.org/10.1215/00277630-1543796

Information

Published: March 2012
First available in Project Euclid: 1 March 2012

zbMATH: 1250.47048
MathSciNet: MR2891166
Digital Object Identifier: 10.1215/00277630-1543796

Subjects:
Primary: 42B35 , 47B10

Rights: Copyright © 2012 Editorial Board, Nagoya Mathematical Journal

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Vol.205 • March 2012
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