This paper studies the behavior of the entropy numbers of classes of functions with bounded integral norms from a given finite dimensional linear subspace. Upper bounds of these entropy numbers in the uniform norm are obtained and applied to establish a Marcinkiewicz-type discretization result for these classes.

中文翻译：

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熵数与Marcinkiewicz型离散化

本文从给定的有限维线性子空间中研究了带有有界积分范数的函数类的熵数的行为。获得这些熵数在统一范数中的上限，并将其用于建立这些类别的Marcinkiewicz型离散化结果。