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

被引：11

作者：

Fernandez, A. ^{[1
]}

Mayoral, F. ^{[1
]}

Naranjo, F. ^{[1
]}

Sanchez-Perez, E. A. ^{[2
]}

机构：

[1] Escuela Super Ingenieros, Dpto Matemat Aplicada 2, Seville 41092, Spain

[2] Univ Politecn Valencia, Dept Matemat Aplicada, Valencia 46022, Spain

来源：

COLLECTANEA MATHEMATICA | 2010年 / 61卷 / 03期

关键词：

Interpolation space; Banach function space; vector measure;

D O I：

10.1007/BF03191230

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (Omega, Sigma) be a measurable space and m . Sigma --> X be a vector measure with values in the complex Banach space X. We apply the Calderon interpolation methods to the family of spaces of scalar p integrable functions with respect torn with 1 <= p <= infinity. Moreover we obtain a result about the relation between the complex interpolation spaces [X(0), X(1)]([theta]) and [X(0), X(1)]([theta]) for a Banach couple of interpolation (X(0), X(1)) such that X(1) subset of X(0) with continuous inclusion

引用

页码：241 / 252

页数：12

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