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

被引：0
|
作者：
A. Fernández
F. Mayoral
F. Naranjo
E. A. Sánchez-Pérez
机构：
[1] Escuela Superior de Ingenieros,Dpto. Matemática Aplicada II
[2] Universidad Politécnica de Valencia,Departamento de Matemática Aplicada
来源：
Collectanea mathematica | 2010年 / 61卷
关键词：
Interpolation space; Banach function space; vector measure; Primary 46B70; Secondary 46G10, 46E30;
D O I：
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学科分类号：
摘要：
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 [X0,X1][θ] and [X0,X1][θ] for a Banach couple of interpolation (X0,X1) such thatX1 ⊂X0 with continuous inclusion.
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页码：241 / 252
页数：11
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