## Abstract The space of probability measures on a Riemannian manifold is endowed with the Fisher information metric. In [4] T. Friedrich showed that this space admits also Poisson structures {, }. In this note, we give directly another proof for the structure {, } being Poisson. (© 2007 WILEY‐VCH
Surface Measures and Tightness of (r,p)-Capacities on Poisson Space
✍ Scribed by V.I. Bogachev; O.V. Pugachev; M. Röckner
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 241 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
We prove tightness of ðr; pÞ-Sobolev capacities on configuration spaces equipped with Poisson measure. By using this result we construct surface measures on configuration spaces in the spirit of the Malliavin calculus. A related Gauss-Ostrogradskii formula is obtained.
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