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An Embedding Result for some General Symbol Classes in the Weyl Calculus
Responsible organisation
1999 (English)Conference paper, Published paper (Refereed) Published
Abstract [en]

The paper deals with inclusion relations between s(p) and H-s(p). Here s(p) is the set of all a is an element ofJ such that the Weyl operator a(w) (x, D) is a Schatten-von Neumann operator on L-2 to the order p is an element of [1, infinity], and H-s(p) is the Sobolev space of distributions with s derivatives in L-p. At the same time we compute the trace norm for a(w) (x, D), when a is an arbitrary Gauss function.

Place, publisher, year, edition, pages
Karlskrona, Sweden: Springer , 1999.
Keywords [en]
pseudo-differential operators, pseudodifferential operators, algebra
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8321ISI: 000189494000016Local ID: oai:bth.se:forskinfoC2EF9755D44D2CE8C1257515002DE9A8OAI: oai:DiVA.org:bth-8321DiVA, id: diva2:836029
Conference
Conference held in honor of Jean Leray
Available from: 2012-09-18 Created: 2008-12-04 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
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