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Embeddings and compactness for generalized Sobolev-Shubin spaces and modulation spaces
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Matematisk modellering)ORCID iD: 0000-0003-1921-8168
2005 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 84, no 3, 269-282 p.Article in journal (Refereed) Published
Abstract [en]

For any appropriate weight function ω, spaces are introduced as counterimage of unweighted modulation spaces through Toeplitz operators with symbol ω. It is proved that the weighted modulation spaces coincide with them when ω is a suitable hypoelliptic symbol. It is furhter proved that a necessary and sufficient condition for the embedding   between two modulation spaces to be compact is that the quotient ω21 vanishes at infinity.

Place, publisher, year, edition, pages
Taylor and Francis , 2005. Vol. 84, no 3, 269-282 p.
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-13114DOI: 10.1080/00036810412331297253OAI: oai:DiVA.org:lnu-13114DiVA: diva2:352157
Available from: 2010-09-18 Created: 2010-09-18 Last updated: 2017-01-11Bibliographically approved

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Toft, Joachim
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CiteExportLink to record
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