Sharp Inequalities for the Hardy-Littlewood Maximal Operator on Finite Directed Graphs

被引：1
|
作者：
Zhang, Xiao [1 ]
Liu, Feng [1 ]
Zhang, Huiyun [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 | 2021年 / 9卷 / 09期
基金：
中国国家自然科学基金;
关键词：
finite directed graphs; Hardy-Littlewood maximal operator; sharp constants; Lebesgue estimates; l(p)-norm; CONSTANTS;
D O I：
10.3390/math9090946
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study the Hardy-Littlewood maximal operator M-(G) over right arrow on a finite directed graph (G) over right arrow. We obtain some optimal constants for the lp norm of M-(G) over right arrow by introducing two classes of directed graphs.
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页数：17
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