关于二重规的Hewitt-Stromberg测度的一些正则性质

Pub Date : 2023-09-06 DOI:10.1007/s10476-023-0227-1

Z. Douzi, B. Selmi, Z. Yuan

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引用次数: 0

摘要

本文的目的是证明，如果关于规范的Hewitt–Stromberg预测度是有限的，那么这些预测度在一般度量空间X中具有一种外正则性。我们还给出了关于规范的Hewitt-Stromberg预测度的一些条件，使得Hewitt-Stromberg测度在完全可分度量空间X上具有几乎内正则性。

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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Some Regular Properties of the Hewitt–Stromberg Measures with Respect to Doubling Gauges

The aim of this paper is to show that if the Hewitt–Stromberg pre-measures with respect to the gauge are finite, then these pre-measures have a kind of outer regularity in a general metric space X. We give also some conditions on the Hewitt–Stromberg pre-measures with respect to the gauge such that the Hewitt–Stromberg measures have an almost inner regularity on a complete separable metric space X.

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