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Criteria for the compactness and the Fredholm property of pseudodifferential operators in Hölder-Zygmund weighted spaces

✍ Scribed by V. D. Kryakvin

Book ID
118725018
Publisher
Springer
Year
2009
Tongue
English
Weight
392 KB
Volume
45
Category
Article
ISSN
0012-2661

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Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces
✍ Elmar Schrohe 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 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 £(L 2 (Rn)) and in £(Hz t ) for weighted Sobolev spaces Hit defined via a weight function y. In all case