Matrix Weighted Kolmogorov-Riesz's Compactness Theorem

被引：0

作者：

Liu, Shenyu ^{[1
]}

Yang, Dongyong ^{[1
]}

Zhuo, Ciqiang ^{[2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, Key Lab Comp & Stochast Math, Minist Educ, Changsha 410081, Peoples R China

来源：

FRONTIERS OF MATHEMATICS | 2023年 / 18卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Kolmogorov-Riesz theorem; matrix weight; totally bounded; metric measure space; variable exponent Lebesgue space; A(P) WEIGHTS; SPACES; SETS;

D O I：

10.1007/s11464-021-0103-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 is an element of (1, infinity) is established.

引用

页码：1167 / 1189

页数：23

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