Real interpolation method on spaces of scalar integrable functions with respect to vector measures |
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| Authors: | Antonio Ferná ndez,Fernando Mayoral |
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| Affiliation: | Departamento de Matemática Aplicada II, Escuela Técnica Superior de Ingenieros, Camino de los Descubrimientos, s/n, 41092-Sevilla, Spain |
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| Abstract: | For a given measurable space (Ω,Σ), and a vector measure m:Σ→X with values in a Banach space X we consider the spaces of p-power integrable and weakly integrable, respectively, functions with respect to the measure m, Lp(m) and  , for 1?p<∞. In this note we describe the real interpolated spaces that we obtain when the K-method is applied to any couple of these spaces. |
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| Keywords: | Vector measures p-Integrable functions Real interpolation K-method |
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