BANACH-VALUED HENSTOCK-KURZWEIL INTEGRABLE FUNCTIONS ARE MCSHANE INTEGRABLE ON A PORTION

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 | 2005年 / 130卷 / 04期
关键词：
Henstock; Kurzweil integral; McShane integral;
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 a Banach-valued Henstock- Kurzweil integrable function on an m-dimensional compact interval is McShane integrable on a portion of the interval. As a consequence, there exist a non-Perron integrable function f : [0, 1](2) -> R and a continuous function F : [0, 1](2) -> R such that (p)integral(x)(0) {(p) integral(y)(0) f(u,v) du = (p)integral(y)(0) { (p) integral(x)(0) f(u,v)du}dv =f(x,y) for all (x, y) is an element of[0, 1](2).
引用
收藏
页码：349 / 354
页数：6
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