On L-p Space Formed by Real-Valued Partial Functions

被引：0

作者：

Watase, Yasushige ^{[1
]}

Endou, Noboru ^{[2
]}

Shidama, Yasunari ^{[3
]}

机构：

[1] Shinshu Univ, Grad Sch Sci & Technol, Nagano, Japan

[2] Gifu Natl Coll Technol, Motosu, Japan

[3] Shinshu Univ, Nagano, Japan

来源：

FORMALIZED MATHEMATICS | 2010年 / 18卷 / 03期

关键词：

D O I：

10.2478/v10037-010-0018-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is the continuation of [31]. We define the set of L-p integrable functions - the set of all partial functions whose absolute value raised to the p-th power is integrable. We show that L-p integrable functions form the L-p space. We also prove Minkowski's inequality, Holder's inequality and that L-p space is Banach space ([15], [27]).

引用

页码：159 / 169

页数：11

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