An improvement of the Kolmogorov-Riesz compactness theorem

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.

References in corpus (2)

• Kolmogorov compactness criterion in variable exponent Lebesgue spaces
• Addendum to "The Kolmogorov--Riesz compactness theorem" (Expo. Math. 28:385--394 (2010))

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