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Schatten properties, nuclearity and minimality of phase shift invariant spaces
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
2017 (English)In: Applied and Computational Harmonic Analysis, ISSN 1063-5203, E-ISSN 1096-603XArticle in journal (Refereed) In press
Abstract [en]

We extend Feichtinger's minimality property on the smallest non-trivial time-frequency shift invariant Banach space, to the quasi-Banach case. Analogous properties are deduced for certain matrix spaces.

We use these results to prove that the pseudo-differential operator Op(a) is a Schatten-q operator from M to Mp and r-nuclear operator from M to Mr when a∈Mr for suitable p, q and r in (0,∞].

Place, publisher, year, edition, pages
Elsevier, 2017.
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61883DOI: 10.1016/j.acha.2017.04.003OAI: oai:DiVA.org:lnu-61883DiVA, id: diva2:1085003
Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2018-06-14

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Toft, Joachim

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