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Continuity of Gevrey-Hörmander pseudo-differential operators on modulation spaces
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2019 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, E-ISSN 1662-999X, Vol. 10, no 2, p. 337-358Article in journal (Refereed) Published
Abstract [en]

Let s ≥ 1, ω,ω ∈ P^0_{E,s} , a ∈ 􏰒\Gamma _s^(ω_0), and let B be a suitable invariant quasi-Banach function space. Then we prove that the pseudo-differential operator Op(a) is continuous from M(ω_0·ω, B) to M(ω, B).

Place, publisher, year, edition, pages
Springer, 2019. Vol. 10, no 2, p. 337-358
Keywords [en]
Pseudo-differential operators, Modulation spaces, BF-spaces, Gelfand–Shilov spaces
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-80298DOI: 10.1007/s11868-018-0273-9ISI: 000466492500005Scopus ID: 2-s2.0-85062799754OAI: oai:DiVA.org:lnu-80298DiVA, id: diva2:1286621
Available from: 2019-02-07 Created: 2019-02-07 Last updated: 2019-08-29Bibliographically approved

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Toft, Joachim

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