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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
(English)In: Applied and Computational Harmonic Analysis, ISSN 1063-5203, E-ISSN 1096-603XArticle in journal (Refereed) Accepted
Abstract [en]

We extend Feichtinger's minimality property on smallestnon-trivial time-frequency shift invariant Banach spaces, to thequasi-Banach case. Analogous properties are deduced forcertain matrix classes.

We use these results to prove that the pseudo-differential operator$\op (a)$ is a Schatten-$q$ operatorfrom $M^\infty$ to $M^p$ and $r$-nuclear operator from $M^\infty$ to $M^r$when $a\in M^r$ for suitable $p$, $q$ and $r$ in $(0,\infty ]$.

National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61883OAI: oai:DiVA.org:lnu-61883DiVA: diva2:1085003
Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2017-04-05

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Toft, Joachim
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