Estimates of difference norms for functions in anisotropic Sobolev spaces
We investigate the spaces of functions on ℝ n for which the generalized partial derivatives D k rk f exist and belong to different Lorentz spaces L pk, sk. For the functions in these spaces, the sharp estimates of the Besov type norms are found. The methods used in the paper are based on estimates o...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| 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/5bbc687eb750603269e809f6 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc687eb750603269e809f6 |
| Access Level: | acceso abierto |
| Palabra clave: | Besov norms Embeddings Rearrangements Sobolev spaces |
| Sumario: | We investigate the spaces of functions on ℝ n for which the generalized partial derivatives D k rk f exist and belong to different Lorentz spaces L pk, sk. For the functions in these spaces, the sharp estimates of the Besov type norms are found. The methods used in the paper are based on estimates of non-increasing rearrangements. These methods enable us to cover also the case when some of the p k's are equal to 1. © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. |
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