KURZWEIL-HENSTOCK AND KURZWEIL-HENSTOCK-PETTIS INTEGRABILITY OF STRONGLY MEASURABLE FUNCTIONS

被引：0
|
作者：
Bongiorno, B. [1 ]
Di Piazza, Palermo L. [1 ]
Musial, Palermo K. [2 ]
机构：
[1] Univ Palermo, Dept Math & Applicat, Via Archirafi 34, I-90123 Palermo, Italy
[2] Wroclaw Univ, Inst Math, PL-50384 Wroclaw, Poland
来源：
MATHEMATICA BOHEMICA | 2006年 / 131卷 / 02期
关键词：
Kurzweil-Henstock integral; Kurzweil-Henstock-Pettis integral; Pettis integral;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the integrability of Banach valued strongly measurable functions defined on [0, 1]. In case of functions f given by Sigma(infinity)(n=1) x(n chi)E(n), where x(n) belong to a Banach space and the sets E-n are Lebesgue measurable and pairwise disjoint subsets of [0, 1], there are well known characterizations for the Bochner and for the Pettis integrability of f (cf Musial (1991)). In this paper we give some conditions for the Kurzweil-Henstock and the Kurzweil-Henstock-Pettis integrability of such functions.
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页码：211 / 223
页数：13
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