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

Xiao Zhang, Feng Liu and Huiyun Zhang
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Xiao Zhang: College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China
Feng Liu: College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China
Huiyun Zhang: College of Electronic and Information Engineering, Shandong University of Science and Technology, Qingdao 266590, China

Mathematics, 2021, vol. 9, issue 9, 1-17

Abstract: In this paper, we introduce and study the Hardy–Littlewood maximal operator M G ? on a finite directed graph G ? . We obtain some optimal constants for the ? p norm of M G ? by introducing two classes of directed graphs.

Keywords: finite directed graphs; Hardy–Littlewood maximal operator; sharp constants; Lebesgue estimates; ? p -norm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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