Pseudodifferential operators with coefficients in Sobolev spaces
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- by Jürgen Marschall PDF
- Trans. Amer. Math. Soc. 307 (1988), 335-361 Request permission
Abstract:
Pseudo-differential operators with coefficients in Sobolev spaces ${H^{r,q}},1 \leqslant q \leqslant \infty$, and their adjoints are studied on Hardy-Sobolev spaces ${H^{s,p}},\;0 < p \leqslant \infty$. A symbolic calculus for these operators is developed, and the microlocal properties are studied. Finally, the invariance under coordinate transformations is proved.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 307 (1988), 335-361
- MSC: Primary 35S05; Secondary 35A27, 47G05
- DOI: https://doi.org/10.1090/S0002-9947-1988-0936820-3
- MathSciNet review: 936820