| Type de publication : |
 |
Articles dans des revues avec comité de lecture |
|
| Domaine : |
|
Mathématiques/Probabilités
|
|
| Titre : |
|
Weighted Nash Inequalities |
|
| Auteur(s) : |
|
Dominique Bakry ( ) 1, 2, François Bolley () 3, Ivan Gentil () 4, Patrick Maheux 5 |
|
| Laboratoire : |
|
|
|
| Résumé : |
|
Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities. In this work we present a simple and extremely general method, based on weighted Nash inequalities, to obtain non-uniform bounds on the kernel densities. Such bounds imply a control on the trace or the Hilbert-Schmidt norm of the heat kernels. We illustrate the method on the heat kernel on $\dR$ naturally associated with the measure with density $C_a\exp(-|x|^a)$, with $1 |
|
Langue du texte
intégral : |
|
Anglais |
|
Date de production,
écriture : |
|
20/04/2010 |
|
|
| Journal : |
|
Revista Matemática Iberoamericana |
|
| Audience : |
|
internationale |
|
| Date de publication : |
|
11/01/2012 |
|
| Page, identifiant, ... : |
|
http://rmi.rsme.es/index.php |
|
|
| Projet ANR : |
|
| Référence du projet |
Dissipative evolutions and convergence to equilibrium, EVOL, BLAN08-2_331648 |
|
|
Récupérer au format
