论文标题
熵数和marcinkiewicz-type离散定理
Entropy numbers and Marcinkiewicz-type discretization theorem
论文作者
论文摘要
本文研究了来自给定有限维线性子空间的有界积分规范的函数类别的熵数的行为。获得统一规范中这些熵数的上限，并应用于从给定有限尺寸子空间中的函数积分范围建立Marcinkiewicz型离散定理。
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 theorem for integral norms of functions from a given finite dimensional subspace.
