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Multiplication properties in Gelfand-Shilovpseudo-differential calculus
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier)ORCID iD: 0000-0003-1921-8168
2013 (English)In: Pseudo-Differential Operators, Generalized Functions and Asymptotics Operators Theory: Advances and Applications / [ed] S. Molahajlo, S. Pilipovic, J. Toft, M. W. Wong, Basel, Heidelberg, New York, Dordrecht, London: Birkhäuser Verlag, 2013, 117-172 p.Chapter in book (Refereed)
Abstract [en]

We consider modulation space and spaces of Schatten-von Neumann symbols where corresponding pseudo-differential operators map one Hilbert space to another. We prove Hölder-Young and Young type results for such spaces under dilated convolutions and multiplications. We also prove continuity propertiesfor such spaces under the twisted convolution, and the Weyl product. These results lead to continuity properties for twisted convolutions on certain weighted Lebesgue spaces with Lebesgue parameter at most 2.

Place, publisher, year, edition, pages
Basel, Heidelberg, New York, Dordrecht, London: Birkhäuser Verlag, 2013. 117-172 p.
Series
Operator Theory Advances and Applications, 231
Keyword [en]
Twisted convolution, Weyl product, ultra-distributions, Beurling, Schatten-von Neumann, modulation, Toeplitz
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-27677DOI: 10.1007/978-3-0348-0585-8ISBN: 978-3-0348-0584-1 (print)OAI: oai:DiVA.org:lnu-27677DiVA: diva2:638157
Projects
Matematisk modellering
Available from: 2013-07-26 Created: 2013-07-26 Last updated: 2017-01-11Bibliographically approved

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Toft, Joachim

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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