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Subalgebras to a Wiener type algebra of Pseudo-differential operators
Blekinge Institute of Technology, Department of Health, Science and Mathematics.
2000 (English)Report (Refereed)Alternative title
Delalgebror av en 'Wiener algebra av Pseudodifferentialoperatorer (Swedish)
Abstract [en]

We study general continuous properties for an increasing family of Banach spaces of classes for pseudo-differential symbols, where the largest symbol space was introduced by J. Sjöstrand 1993. We prove that corresponding pseudo-differential operators are contained in the some certain sets of Schatten-von Neumann operators. We prove also that one obtains Hölder relations from the operator product and the usual multiplication, and that the convolution multiplication give rise to some Young type relations. Some further extensions are also discussed

Place, publisher, year, edition, pages
Blekinge Tekniska Högskola Forskningsrapport, ISSN 1103-1581 ; 14
Keyword [en]
Pseudo-differential operators, Weyl quantization, Schatten-von Neumann classes
National Category
Mathematical Analysis
URN: urn:nbn:se:bth-00162Local ID: diva2:833659
Annales de l'Institut Fourier vol. 51, 2001 nummer 4 eller 5Available from: 2015-06-26 Created: 2000-10-09 Last updated: 2015-06-30Bibliographically approved

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