2021
DOI: 10.48550/arxiv.2102.01354
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Matrix weighted Kolmogorov-Riesz's compactness theorem

Shenyu Liu,
Dongyong Yang,
Ciqiang Zhuo

Abstract: In this paper, several versions of the Kolmogorov-Riesz compactness theorem in weighted Lebesgue spaces with matrix weights are obtained. In particular, when the matrix weight W is in the known A p class, a characterization of totally bounded subsets in L p (W ) with p ∈ (1, ∞) is established.

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