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Subalgebras to a Wiener type algebra of Pseudo-differential operators
Blekinge Tekniska Högskola, Institutionen för hälso- och naturvetenskap.
2000 (engelsk)Rapport (Fagfellevurdert)Alternativ tittel
Delalgebror av en 'Wiener algebra av Pseudodifferentialoperatorer (svensk)
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

sted, utgiver, år, opplag, sider
2000.
Serie
Blekinge Institute of Technology Research report, ISSN 1103-1581 ; 14
Emneord [en]
Pseudo-differential operators, Weyl quantization, Schatten-von Neumann classes
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-00162Lokal ID: oai:bth.se:forskinfoC84A668324BA0B1AC1256973004A16F5OAI: oai:DiVA.org:bth-00162DiVA, id: diva2:833659
Merknad
Annales de l'Institut Fourier vol. 51, 2001 nummer 4 eller 5Tilgjengelig fra: 2015-06-26 Laget: 2000-10-09 Sist oppdatert: 2015-06-30bibliografisk kontrollert

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