Using Malliavin's calculus, the divergence, the covariant derivative, and the Riemann and Ricci curvatures of a submanifold of the Wiener space are defined. It is shown that the Ricci and Riemann curvatures appear in the commutator of the divergence operator and covariant derivative operator. Capaci
✦ LIBER ✦
Differential calculus on finite codimensional submanifolds of the Wiener space—The divergence operator
✍ Scribed by Hélène Airault
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 940 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
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## Abstract An elementary straightforward proof for the boundedness of pseudo ‐ differential operators of the Hörmander class Ψ^μ^~I,δ~ on weighted Besov ‐ Triebel spaces is given using a discrete characterization of function spaces.
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