Atomicity related to non-additive integrability

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• 作者：Domenico Candeloro ; Anca Croitoru…
• 关键词：Atom ; Finitely purely atomic measures ; Gould integral ; Birkhoff integral ; Non ; additive measure ; Vector function
• 刊名：Rendiconti del Circolo Matematico di Palermo
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：65
• 期：3
• 页码：435-449
• 全文大小：494 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebra
  Geometry
  Analysis
  Applications of Mathematics
  
• 出版者：Springer Milan
• ISSN：1973-4409
• 卷排序：65

文摘

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.