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.

引用

页码：211 / 223

页数：13

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