Atomicity related to non-additive integrability

被引：10
|
作者：
Candeloro D. [1 ]
Croitoru A. [2 ]
Gavriluţ A. [2 ]
Sambucini A.R. [1 ]
机构：
[1] Department of Mathematics and Computer Sciences, University of Perugia, 1, Via Vanvitelli, Perugia
[2] Faculty of Mathematics, “Al. I. Cuza” University, Iaşi
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2016年 / 65卷 / 3期
关键词：
Atom; Birkhoff integral; Finitely purely atomic measures; Gould integral; Non-additive measure; Vector function;
D O I：
10.1007/s12215-016-0244-z
中图分类号：
学科分类号：
摘要：
In this paper we present some results concerning Gould integrability of vector functions with respect to a monotone measure on finitely purely atomic measure spaces. As an application a Radon-Nikodym theorem in this setting is obtained. © 2016, Springer-Verlag Italia.
引用
收藏
页码：435 / 449
页数：14
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