Sobolev spaces and symbolic calculus
β Scribed by R. Kaufman
- Book ID
- 112885672
- Publisher
- The Hebrew University Magnes Press
- Year
- 1980
- Tongue
- English
- Weight
- 90 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0021-2172
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π SIMILAR VOLUMES
We give formulas for integration by parts over the path space and over the loop space of a manifold. We define Sobolev spaces and an Ornstein-Uhlenbeck operator on the loop space. We find some functionals which belongto all the Sobolev spaces.
Consider the Sobolev class W 1, p (M, N) where M and N are compact manifolds. We present some sufficient conditions which guarantee that W 1, p (M, N) is pathconnected. We also discuss cases where W 1, p (M, N) admits more than one component. There are still a number of open problems, especially con
Consider the Sobolev class W s, p (M, N ) where M and N are compact manifolds, and p β₯ 1, s β (0, 1 + 1/ p). We present a necessary and sufficient condition for two maps u and v in W s, p (M, N ) to be continuously connected in W s, p (M, N ). We also discuss the problem of connecting a map u β W s,