Symmetrization inequalities for probability metric spaces with convex isoperimetric profile
We obtain symmetrization inequalities on probability metric spaces with convex isoperimetric profile which incorporate in their formulation the isoperimetric estimator and that can be applied to provide a unified treatment of sharp Sobolev-Poincare and Nash inequalities.
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:291897 |
| Acceso en línea: | https://ddd.uab.cat/record/291897 https://dx.doi.org/urn:doi:10.5186/aasfm.2020.4548 |
| Access Level: | acceso abierto |
| Palabra clave: | Isoperimetric convex profile Nash inequalities Sobolev-Poincaré inequalities Symmetrization |
| Sumario: | We obtain symmetrization inequalities on probability metric spaces with convex isoperimetric profile which incorporate in their formulation the isoperimetric estimator and that can be applied to provide a unified treatment of sharp Sobolev-Poincare and Nash inequalities. |
|---|