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：

暂无

中图分类号：

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.

引用

页码：241 / 252

页数：11

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