An improvement of the Kolmogorov-Riesz compactness theorem
Functional Analysis
2019-03-22 v2
Abstract
The purpose of this short note is to provide a new and very short proof of a result by Sudakov, offering an important improvement of the classical result by Kolmogorov-Riesz on compact subsets of Lebesgue spaces.
Keywords
Cite
@article{arxiv.1705.01349,
title = {An improvement of the Kolmogorov-Riesz compactness theorem},
author = {Harald Hanche-Olsen and Helge Holden and Eugenia Malinnikova},
journal= {arXiv preprint arXiv:1705.01349},
year = {2019}
}