Extrapolation theory for the real interpolation method
We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Ω.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:271864 |
| Acceso en línea: | https://ddd.uab.cat/record/271864 |
| Access Level: | acceso abierto |
| Palabra clave: | Real interpolation Maximal and minimal Lorentz spaces Extrapolation Yano's theorem Zygmund's theorem Sobolev embeddings Riesz potentials |
| Sumario: | We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Ω. |
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