Sharp affine weighted L-p Sobolev type inequalities
We establish sharp affine weighted Lp Sobolev type inequalities by using the Lp Busemann–Petty centroid inequality proved by Lutwak,Yang, and Zhang. Our approach consists of combining the latterwitha suitable family of sharp weighted Lp Sobolev type inequalities obtained by Nguyen and allows us to c...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/181361 |
| Acceso en línea: | https://hdl.handle.net/11441/181361 https://doi.org/10.1090/tran/7728 |
| Access Level: | acceso abierto |
| Sumario: | We establish sharp affine weighted Lp Sobolev type inequalities by using the Lp Busemann–Petty centroid inequality proved by Lutwak,Yang, and Zhang. Our approach consists of combining the latterwitha suitable family of sharp weighted Lp Sobolev type inequalities obtained by Nguyen and allows us to characterize all extremizers insomecases. The new inequalities do not rely on any euclidean geometric structure. |
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