A MULTIDIMENSIONAL INTEGRATION BY PARTS FORMULA FOR THE HENSTOCK-KURZWEIL INTEGRAL

被引：0

作者：

Lee, Tuo-Yeong ^{[1
]}

机构：

[1] Nanyang Technol Univ, Natl Inst Educ, Math & Math Educ, 1 Nanyang Walk, Singapore 637616, Singapore

来源：

MATHEMATICA BOHEMICA | 2008年 / 133卷 / 01期

关键词：

Henstock-Kurzweil integral; bounded variation in the sense of Hardy-Krause; integration by parts;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that if g is of bounded variation in the sense of Hardy-Krause on Pi(m)(i=1) [a(i), b(i)], then g chi (m)(Pi i=1) ((ai, bi)) is of bounded variation there. As a result, we obtain a simple proof of Kurzweil's multidimensional integration by parts formula.

引用

页码：63 / 74

页数：12

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