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Schatten p-class property of pseudodifferential operators with symbols in modulation spaces

Published online by Cambridge University Press:  11 January 2016

Masaharu Kobayashi  and
Akihiko Miyachi
Masaharu Kobayashi
Affiliation:
Department of Mathematics Tokyo University of Science, Tokyo 162-8601, Japankobayashi@ma.kagu.tus.ac.jp
Akihiko Miyachi
Affiliation:
Department of Mathematics Tokyo Woman’s Christian University, Tokyo 167-8585, Japanmiyachi@lab.twcu.ac.jp
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Abstract

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It is proved that the pseudodifferential operators σt(X, D) belong to the Schatten p-class Cp, 0 < p ≤ 2, if the symbol σ(x,ω) is in certain modulation spaces on

Keywords

42B3547B10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 205 , March 2012 , pp. 119 - 148
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

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