In this paper, we shall be concerned with evaluation of Hewitt–Stromberg measure of Cartesian product sets by means of the measure of their components. This is done by the construction of new multifractal measures, on the Euclidean space \({\mathbb {R}}^n\), in a similar manner to Hewitt–Stromberg measures but using the class of all n-dimensional half-open binary cubes of covering sets in the definition rather than the class of all balls.

中文翻译：

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关于翰威特-斯特龙伯格产品集的度量

在本文中，我们将关注笛卡尔乘积集的Hewitt–Stromberg乘积度量的评估。这是通过在欧氏空间\（{\ mathbb {R}} ^ n \）上构造新的多重分形测度来完成的，类似于休伊特-斯特龙贝格测度，但使用了所有n维半开类定义中的覆盖集的二进制立方体，而不是所有球的类。