Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in Rn × R+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/21017 |
| Acceso en línea: | http://hdl.handle.net/11336/21017 |
| Access Level: | acceso abierto |
| Palabra clave: | Caffarelli-Konh-Nirenberg Inequalities Trace Inequalities https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in Rn × R+ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions. |
|---|