The pseudodifferential operators with symbols in the Grushin classes S,~, 0 < < p < 1, of slowly varying symbols are shown to form spectrally invariant unital Fr6chet-\*-algebras (\*-algebras) in Β£(L 2 (Rn)) and in Β£(Hz t ) for weighted Sobolev spaces Hit defined via a weight function y. In all case
β¦ LIBER β¦
Spectral invariance for pseudodifferential operators on weighted function spaces
β Scribed by Hans-Gerd Leopold; Hans Triebel
- Book ID
- 110558304
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 545 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0025-2611
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## Abstract In this paper we study weighted function spaces of type __B__(β^__n__^, __Q__(__x__)) and __F__(β^__n__^, __Q__(__x__)), where __Q(x)__ is a weight function of at most polynomial growth. Of special interest are the weight functions __Q(x)__ = (1 + |x|^2^)^Ξ±/2^ with Ξ± Ο΅ β. The main resul