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arxiv: 1602.05330 · v1 · pith:7VYOYR4Snew · submitted 2016-02-17 · 🧮 math.FA

Atomicity related to non-additive integrability

classification 🧮 math.FA
keywords integrabilitymeasureapplicationatomicatomicityconcerningfinitelyfunctions
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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.

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