Matrix weighted Kolmogorov-Riesz's compactness theorem

Autor:	Liu, Shenyu, Yang, Dongyong, Zhuo, Ciqiang
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages and submitted
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.01354 Zobrazit plný text záznamu View this record from Arxiv