Matrix Weighted Kolmogorov–Riesz’s Compactness Theorem

被引：0
作者：
Shenyu Liu
Dongyong Yang
Ciqiang Zhuo
机构：
[1] Xiamen University,School of Mathematical Sciences
[2] Hunan Normal University,Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics
来源：
Frontiers of Mathematics | 2023年 / 18卷
关键词：
Kolmogorov–Riesz theorem; matrix weight; totally bounded; metric measure space; variable exponent Lebesgue space; 46B50; 46E40; 42B35; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 Ap class, a characterization of totally bounded subsets in Lp(W) with p ∈ (1, ∞) is established.
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页码：1167 / 1189
页数：22
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