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

Antonio Fernández Carrión , Fernando Mayoral, Francisco Naranjo Naranjo , Enrique Alfonso Sánchez Pérez

• 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.