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Continuity properties for modulation spaces, with applications to pseudo-differential calculus, I
Blekinge Tekniska Högskola. (Matematisk modellering)ORCID iD: 0000-0003-1921-8168
2004 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 207, no 2, 399-429 p.Article in journal (Refereed) Published
Abstract [en]

Let Mp,q denote the modulation space with parameters p,q[1,∞]. If 1/p1+1/p2=1+1/p0 and 1/q1+1/q2=1/q0, then it is proved that Mp1,q1*Mp2,q2Mp0,q0. The result is used to get inclusions between modulation spaces, Besov spaces and Schatten classes in calculus of Ψdo (pseudo-differential operators), and to extend the definition of Toeplitz operators. We also discuss continuity of ambiguity functions and Ψdo in the framework of modulation spaces.

Place, publisher, year, edition, pages
Elsevier , 2004. Vol. 207, no 2, 399-429 p.
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-8512DOI: 10.1016/j.jfa.2003.10.003OAI: oai:DiVA.org:lnu-8512DiVA: diva2:352154
Projects
Matematisk modellering
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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