| Título: | The Abstract Riemannian Path Space |
| Autores: |
Feyel, D.; Université Evry de La Pradelle, A.; Université Paris VI |
| Fecha: | 2000-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Wiener space, Sobolev spaces, Bismut-Driver formula, Logarithmic Sobolev inequality, Capacities, Riemannian manifold path space. 60H07, 60H10, 60H25, 58D20, 58J99. |
| Descripción: | On the Wiener space $\Omega$, we introduce an abstract Ricci process $A_t$ and a pseudo-gradient $F\rightarrow{F}^\sharp$ which are compatible through an integration by parts formula. They give rise to a $\sharp$-Sobolev space on $\Omega$, logarithmic Sobolev inequalities, and capacities, which are tight on Hoelder compact sets of $\Omega$. These are then applied to the path space over a Riemannian manifold. |
| Idioma: | Inglés |
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