Radon-Nikodým有限可加多测度定理

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2015-10-29 DOI:10.4171/ZAA/1545

L. Piazza, G. Porcello

引用次数: 10

摘要

．本文主要研究区间多测度。我们用Henstock或Henstock- kurzweil - pettis导数证明了这类多测度的Radon-Nikod定理。我们没有在结果中使用可分性假设。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Radon–Nikodým Theorems for Finitely Additive Multimeasures

. In this paper we deal with interval multimeasures. We show some Radon-Nikod´ym theorems for such multimeasures using multival- ued Henstock or Henstock-Kurzweil-Pettis derivatives. We do not use the separability assumption in the results.

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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.