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Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Matematisk modellering)ORCID iD: 0000-0003-1921-8168
2011 (English)In: Journal d'Analyse Mathematique, ISSN 0021-7670, E-ISSN 1565-8538, Vol. 114, no 1, 255-283 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the lifting property of modulation spaces and construct explicit isomorpisms between them. For each weight function \omega and suitable window function \varphi, the Toeplitz operator (or localization operator) TP _\varphi (\omega ) is an isomorphism from M^{p,q}_{(\omega _0)} into M^{p,q}_{(\omega _0/\omega )} for every p,q\in [1,\infty ] and arbitrary weight function \omega _0. The methods involve the pseudo-differential calculus of Bony and Chemin and the Wiener algebra property of certain symbol classes of pseudo-di®erential operators.

Place, publisher, year, edition, pages
Jerusalem: Springer , 2011. Vol. 114, no 1, 255-283 p.
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-6879DOI: 10.1007/s11854-011-0017-8OAI: oai:DiVA.org:lnu-6879DiVA: diva2:331626
Projects
Matematisk modellering
Available from: 2010-07-23 Created: 2010-07-23 Last updated: 2017-01-11Bibliographically approved

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Toft, Joachim
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