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arXiv · 2102.01354

Matrix weighted Kolmogorov-Riesz's compactness theorem

Shenyu Liu·Dongyong Yang·Ciqiang Zhuo
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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 $p\in(1, \infty)$ is established.

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Shenyu Liu, Dongyong Yang, Ciqiang Zhuo. 2021-02-02. Matrix weighted Kolmogorov-Riesz's compactness theorem. https://arxiv.org/abs/2102.01354

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