lnu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Multiplication properties in pseudo-differential calculus with small regularity on the symbols
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Matematisk modellering)ORCID iD: 0000-0003-1921-8168
2010 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, Vol. 1, no 1, 101-138 p.Article in journal (Refereed) Published
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 properties for such spaces under the twisted convolution, and theWeyl product. These results lead to continuity properties for twisted convolutions on Lebesgue spaces, e.g. L p_(ω) is a twisted convolution algebra when 1≤ p ≤ 2 and ω is an appropriate weight.

Place, publisher, year, edition, pages
Basel: Birkhäuser , 2010. Vol. 1, no 1, 101-138 p.
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-6872DOI: 10.1007/s11868-010-0007-0OAI: oai:DiVA.org:lnu-6872DiVA: diva2:331603
Projects
Matematisk modellering
Available from: 2010-07-23 Created: 2010-07-23 Last updated: 2017-01-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Toft, Joachim
By organisation
School of Computer Science, Physics and Mathematics
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 124 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf