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Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
Indian Inst Sci Educ & Res, India.
OCC Homi Bhabha Natl Inst, India.
2023 (English)In: Analysis and Applications, ISSN 0219-5305, E-ISSN 1793-6861 , Vol. 21, no 2, p. 453-495Article in journal (Refereed) Published
Abstract [en]

We deduce trace properties for modulation spaces (including certain Wiener-amalgam spaces) of Gelfand-Shilov distributions.We use these results to show that psi dos with amplitudes in suitable modulation spaces, agree with normal type psi dos whose symbols belong to (other) modulation spaces. In particular we extend earlier trace results for modulation spaces, to include quasi-Banach modulation spaces. We also apply our results to extend earlier results on Schatten-von Neumann and nuclear properties for psi dos with amplitudes in modulation spaces.

Place, publisher, year, edition, pages
World Scientific, 2023. Vol. 21, no 2, p. 453-495
Keywords [en]
Modulation spaces, Gelfand-Shilov spaces, Wiener amalgam spaces, trace map, amplitude, pseudo-differential operators
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-116460DOI: 10.1142/S0219530522500063ISI: 000848581500001Scopus ID: 2-s2.0-85133917521OAI: oai:DiVA.org:lnu-116460DiVA, id: diva2:1697430
Available from: 2022-09-20 Created: 2022-09-20 Last updated: 2023-05-16Bibliographically approved

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Toft, Joachim

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