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
• DOI: 10.1007/bf03191230
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• Resumen

  • Let $(\Omega,\Sigma)$ be a measurable space and $m:\Sigma \rightarrow X$ be a vector measure with values in the complex Banach space $X.$ We apply the Calder\'on interpolation methods to the family of spaces of scalar $p-$integrable functions with respect to $m$ with $1\leq p