Integration by parts formulas and dilatation vector fields on elliptic probability spaces

✍ Scribed by Helene Airault; Paul Malliavin

Publisher: Springer
Year: 1996
Tongue: English
Weight: 412 KB
Volume: 106
Category: Article
ISSN: 1432-2064
DOI: 10.1007/s004400050072

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Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces

✍ R. Leandre 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 606 KB

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.