On a decomposition of non-negative Radon measures

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2019-01-01 DOI:10.5817/am2019-4-203

B. A. Kpata

引用次数: 2

Abstract

We establish a decomposition of non-negative Radon measures on Rd which extends that obtained by Strichartz [6] in the setting of α-dimensional measures. As consequences, we deduce some well-known properties concerning the density of non-negative Radon measures. Furthermore, some properties of non-negative Radon measures having their Riesz potential in a Lebesgue space are obtained.

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关于非负氡的分解措施

我们建立了Rd上非负Radon测度的分解，推广了strstrichartz[6]在α维测度下得到的分解。作为结果，我们推导出一些众所周知的关于非负氡测量密度的性质。此外，还得到了在Lebesgue空间中具有Riesz势的非负Radon测度的一些性质。

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

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.