Slightly Regular and Vague Measures

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI:10.18311/JIMS/2017/7661

James Camacho

引用次数: 0

Abstract

Outer and inner measures of a measure μ are defined and used to prove results involving them on a lattice l and its complement l '. Most of the results concern slightly regular measures, and vague measures. Then outer and inner measures associated to two measures μ, ν are then used to prove results involving them on two lattices l 1 , and l 2 where l 1 ⊂ l 2 .

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稍微规则和模糊的措施

μ的外测度和内测度被定义并用于证明涉及它们在格l及其补码l’上的结果。大多数结果涉及稍微常规的措施和模糊的措施。然后，使用与两个测度μ，Γ相关的外测度和内测度来证明在两个格l1和l2上涉及它们的结果，其中l1⊂l2。

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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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.