Título: | Reiteration formulae for interpolation methods associated to polygons |
Autores: | Cobos, Fernando ; Richter, Christian ; Ullrich, Tino |
Tipo de documento: | texto impreso |
Editorial: | Academic Press-Elsevier, 2009 |
Dimensiones: | application/pdf |
Nota general: | info:eu-repo/semantics/restrictedAccess |
Idiomas: | |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Topología , Tipo = Artículo |
Resumen: |
We study spaces generated by applying the interpolation methods defined by a polygon ? to an N-tuple of real interpolation spaces with respect to a fixed Banach couple {X, Y }. We show that if the interior point (?,?) of the polygon does not lie in any diagonal of ? then the interpolation spaces coincide with sums and intersections of real interpolation spaces generated by {X, Y }. Applications are given to N-tuples formed by Lorentz function spaces and Besov spaces. Moreover, we show that results fail in general if (?,?) is in a diagonal. |
En línea: | https://eprints.ucm.es/id/eprint/14927/1/05.pdf |
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