Complex interpolation of spaces of integrable functions with respect to a vector measure

• Autores: Antonio Fernández Carrión, Fernando Mayoral, Francisco Naranjo Naranjo, Enrique Alfonso Sánchez Pérez
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 61, Fasc. 3, 2010, págs. 241-252
• Idioma: inglés
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• Resumen

  • Let (Ω, Σ) be a measurable space andm: Σ →X be a vector measure with values in the complex Banach space X: We apply the Calderón interpolation methods to the family of spaces of scalarp-integrable functions with respect tom with 1≤p≤∞. Moreover we obtain a result about the relation between the complex interpolation spaces [X_0, X_1]_{[θ]} and [X0, X_1]^{[θ]} for a Banach couple of interpolation (X_0,X_1) such that X_1⊂X_0 with continuous inclusion.