An Embedding Result for some General Symbol Classes in the Weyl Calculus

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Joachim Toft
Title: An Embedding Result for some General Symbol Classes in the Weyl Calculus
Conference name: Conference held in honor of Jean Leray
Year: 1999
Pagination: 219-
Publisher: Springer
City: Karlskrona, Sweden
ISI number: 000189494000016
Organization: Blekinge Institute of Technology
Department: Dept. of Telecommunications and Mathematics (Institutionen för telekommunikation och matematik)
Dept. of Telecommunications and Mathematics S-37179 Karlskrona
+46 455 38 50 00
Language: English
Abstract: The paper deals with inclusion relations between s(p) and H-s(p). Here s(p) is the set of all a is an element ofJ such that the Weyl operator a(w) (x, D) is a Schatten-von Neumann operator on L-2 to the order p is an element of [1, infinity], and H-s(p) is the Sobolev space of distributions with s derivatives in L-p. At the same time we compute the trace norm for a(w) (x, D), when a is an arbitrary Gauss function.
Subject: Mathematics\Analysis
Keywords: pseudo-differential operators, pseudodifferential operators, algebra
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