Subalgebras to a Wiener type algebra of Pseudo-differential operators

Document type: Researchreports
Author(s): Joachim Toft
Title: Subalgebras to a Wiener type algebra of Pseudo-differential operators
Translated title: Delalgebror av en 'Wiener algebra av Pseudodifferentialoperatorer
Series: Research Report
Year: 2000
Issue: 14
ISSN: 1103-1581
Organization: Blekinge Institute of Technology
Department: Department of Science and Health (*** !Error ***)
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+46 455 780 00
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Authors e-mail: jto@ihn.hk-r.se
Language: English
Abstract: 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
Subject: Mathematics\Analysis
Keywords: Pseudo-differential operators, Weyl quantization, Schatten-von Neumann classes
Note: Annales de l'Institut Fourier vol. 51, 2001 nummer 4 eller 5
URN: urn:nbn:se:bth-00162
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