Sharp inequalities for maximal operators on finite graphs

DOI10.1007/s12220-021-00625-0zbMath1480.42027arXiv2005.03146OpenAlexW3138537167MaRDI QIDQ1979210

Cristian González-Riquelme, J. A. Jiménez Madrid

Publication date: 2 September 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03146

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) Discrete version of topics in analysis (39A12) Distance in graphs (05C12) Functions of bounded variation, generalizations (26A45) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (3)

Sharp inequalities for maximal operators on finite graphs. II ⋮ On the spherical maximal function on finite graphs ⋮ Weighted inequalities for fractional maximal functions on the infinite rooted \(k\)-ary tree

Cites Work

• On the endpoint regularity of discrete maximal operators
• The Hardy-Littlewood maximal function of a Sobolev function
• The best constant for the centered Hardy-Littlewood maximal inequality
• Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator
• Endpoint Sobolev and BV continuity for maximal operators. II
• Endpoint Sobolev and BV continuity for maximal operators
• 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
• The frequency function and its connections to the Lebesgue points and the Hardy–Littlewood maximal function
• On a discrete version of Tanaka’s theorem for maximal functions

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