Entropy numbers and Marcinkiewicz-type discretization

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 t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of functional analysis 2021-09, Vol.281 (6), p.109090, Article 109090
Main Authors: Dai, F., Prymak, A., Shadrin, A., Temlyakov, V., Tikhonov, S.
Format: Article
Language:English
Subjects:
Entropy numbers
Marcinkiewicz-type discretization
Nikolskii-type inequality
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2021.109090