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

共 29 条

[1] ON KURZWEIL-HENSTOCK-PETTIS AND KURZWEIL-HENSTOCK INTEGRALS OF BANACH SPACE-VALUED FUNCTIONS
Ye Guoju
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (01): : 213 - 222
[2] ON THE HENSTOCK-KURZWEIL-DUNFORD AND KURZWEIL-HENSTOCK-PETTIS INTEGRALS
Ye Guoju
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (04) : 1233 - 1244
[3] Characterizations of Kurzweil-Henstock-Pettis integrable functions
Di Piazza, L.
Musial, K.
STUDIA MATHEMATICA, 2006, 176 (02) : 159 - 176
[4] STRONGLY MEASURABLE KURZWEIL-HENSTOCK TYPE INTEGRABLE FUNCTIONS AND SERIES
Marraffa, V.
QUAESTIONES MATHEMATICAE, 2008, 31 (04) : 379 - 386
[5] A characterization of strongly measurable Kurzweil-Henstock integrable functions and weakly continuous operators
Marraffa, Valeria
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (02) : 1171 - 1179
[6] Set-valued Kurzweil-Henstock-Pettis integral
Di Piazza, L
Musial, K
SET-VALUED ANALYSIS, 2005, 13 (02): : 167 - 179
[7] A REMARK ON THE DEFINITION OF THE KURZWEIL-HENSTOCK INTEGRAL
Vyborny, Rudolf
REAL ANALYSIS EXCHANGE, 2005, 31 (02) : 465 - 467
[8] Variational measures and the Kurzweil-Henstock integral
Schwabik, Stefan
MATHEMATICA SLOVACA, 2009, 59 (06) : 731 - 752
[9] On totalization of the Kurzweil-Henstock integral in the multidimensional space
Saric, Branko
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (04) : 1017 - 1022
[10] On totalization of the Kurzweil-Henstock integral in the multidimensional space
Branko Sarić
Czechoslovak Mathematical Journal, 2011, 61 : 1017 - 1022

← 1 2 3 →