Sharp inequalities for maximal operators on finite graphs. II

DOI10.1016/J.JMAA.2021.125647zbMath1475.42033arXiv2011.02630OpenAlexW3197463107MaRDI QIDQ2235787

Cristian González-Riquelme, J. A. Jiménez Madrid

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02630

zbMATH Keywords

maximal operatorssharp constantsfinite graphs\(p\)-bounded variation

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Distance in graphs (05C12) Functions of bounded variation, generalizations (26A45) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (1)

Weighted inequalities for fractional maximal functions on the infinite rooted \(k\)-ary tree

Cites Work

• On the endpoint regularity of discrete maximal operators
• Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function
• Sharp inequalities for maximal operators on finite graphs
• On the variation of the Hardy-Littlewood maximal functions on finite graphs
• Best constants for the Hardy-Littlewood maximal operator on finite graphs
• Derivative bounds for fractional maximal functions
• SHARP INEQUALITIES FOR THE VARIATION OF THE DISCRETE MAXIMAL FUNCTION
• On the variation of the Hardy-Littlewood maximal function
• Regularity of Maximal Operators: Recent Progress and Some Open Problems
• On a discrete version of Tanaka’s theorem for maximal functions

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