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Growth bound for the shift semigroup on weighted Sobolev spaces

✍ Scribed by Anna Rusinek, Onno van Gaans

Book ID
120694786
Publisher
Springer
Year
2013
Tongue
English
Weight
196 KB
Volume
101
Category
Article
ISSN
0003-889X

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Spectral invariance, ellipticity, and th
Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces
✍ 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