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Spectral invariance for pseudodifferential operators on weighted function spaces

✍ 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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πŸ“œ SIMILAR VOLUMES


Spectral invariance, ellipticity, and th
✍ Elmar Schrohe πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 840 KB

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

Entropy Numbers in Weighted Function Spa
✍ Dorothee Haroske; Hans Triebel πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 1021 KB

## Abstract In this paper we study weighted function spaces of type __B__(ℝ^__n__^, __Q__(__x__)) and __F__(ℝ^__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΅ ℝ. The main resul