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Poincaré inequality and the $L^p$ convergence of semi-groups
Cattiaux, Patrick; Institut de Mathématiques de Toulouse - Guillin, Arnaud; Université Blaise Pascal - Roberto, Cyril; Universités de Paris Est Marne la Vallée et de Paris 12-Val-de-Marne
| Formato: |
Peer-reviewed Article, |
| Enlaces: |
 
We prove that for symmetric Markov processes of diffusion type admitting a ``carré du champ'', the Poincaré inequality is equivalent to the exponential convergence of the associated semi-group in one (resp. all) $L^p(\mu)$ spaces for $1 < p < \infty$.…
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| Fecha: |
2010-01-01 |
| Recurso: |
Electronic communications in probability |
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