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

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

Mathematics, 2022, vol. 10, issue 6, 1-21

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

Keywords: finite directed graph; Hardy–Littlewood maximal operator; bounded variation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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