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arXiv · 1705.01349

An improvement of the Kolmogorov-Riesz compactness theorem

Harald Hanche-Olsen·Helge Holden·Eugenia Malinnikova
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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.

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Harald Hanche-Olsen, Helge Holden, Eugenia Malinnikova. 2017-05-03. An improvement of the Kolmogorov-Riesz compactness theorem. https://doi.org/10.1016/j.exmath.2018.03.002

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