Variation Inequalities for the Hardy-Littlewood Maximal Function on Finite Directed Graphs

被引：0

作者：

Liu, Feng ^{[1
]}

Zhang, Xiao ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Elect & Informat Engn, Qingdao 266590, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 06期

基金：

中国国家自然科学基金;

关键词：

finite directed graph; Hardy-Littlewood maximal operator; bounded variation; OPERATOR; REGULARITY; COMPACTNESS;

D O I：

10.3390/math10060950

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors establish the bounds for the Hardy-Littlewood maximal operator defined on a finite directed graph (G) over right arrow in the space BVp((G) over right arrow) of bounded p-variation functions. More precisely, the authors obtain the BVp norms of M-(G) over right arrow for some directed graphs (G) over right arrow.

引用

页数：21

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