Inequalities for partial moduli of continuity and partial derivatives
We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo-Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives be...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc699eb750603269e81e7c |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc699eb750603269e81e7c |
| Access Level: | acceso abierto |
| Palabra clave: | Besov norms Embeddings Gagliardo-Nirenberg type inequalities Moduli of continuity Rearrangements Sobolev spaces |
| Sumario: | We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo-Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives belong to different spaces, including the space L 1. © 2010 Springer Science+Business Media, LLC. |
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