Isoperimetric Hardy type and Poincaré inequalities on metric spaces
We give a general construction of manifolds for which Hardy type operators characterize Poincaré inequalities. We also show a class of spaces where this property fails. As an application, we extend recent results of E. Milman to our setting.
| Autores: | , |
|---|---|
| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:270419 |
| Acceso en línea: | https://ddd.uab.cat/record/270419 https://dx.doi.org/urn:doi:10.1007/978-1-4419-1341-8_13 |
| Access Level: | acceso abierto |
| Palabra clave: | Sobolev inequality Orlicz space Isoperimetric inequality Logarithmic Sobolev inequality Banach function space |
| Sumario: | We give a general construction of manifolds for which Hardy type operators characterize Poincaré inequalities. We also show a class of spaces where this property fails. As an application, we extend recent results of E. Milman to our setting. |
|---|