Hewitt-Stromberg预测度与Hewitt-Stromberg测度的关系

Pub Date : 2023-01-01 DOI:10.2298/fil2301013a

Najmeddine Attia, Omrane Guizani, Amal Mahjoub

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引用次数: 2

摘要

假设K是Rn和t的紧集?0. 本文讨论了t维Hewitt-Stromberg预测度与以H?分别是t和t。我们证明:如果H?t (K) < +?H ?t(K) = Ht(K)如果H?t (K) = +?，存在一个紧子集F (K)使得H?t(F) = Ht(F)而Ht(F)很接近Ht(K)

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Some relations between Hewitt-Stromberg premeasure and Hewitt-Stromberg measure

Let K be a compact set of Rn and t ? 0. In this paper, we discuss the relation between the t-dimensional Hewitt-Stromberg premeasure and measure denoted by H?t and Ht respectively. We prove : if H?t (K) < +? then H?t (K) = Ht(K) and if H?t (K) = +?, there exists a compact subset F of K such that H?t (F) = Ht(F) and Ht(F) is close as we like to Ht(K).

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