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On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates

Jean Bourgain, Mariusz Mirek, Elias M. Stein, Błażej Wróbel

2020Lecture notes in mathematics11 citationsDOI

Topics & Concepts

MathematicsDimension (graph theory)Euclidean geometryMaximal functionMathematical analysisCombinatoricsPure mathematicsMaximal operatorEuclidean spaceFunction (biology)Ball (mathematics)Euclidean distanceDiscrete mathematicsUnit sphereUpper and lower boundsConvex bodyAdvanced Harmonic Analysis ResearchMathematical Analysis and Transform MethodsGeometric Analysis and Curvature Flows
On Discrete Hardy–Littlewood Maximal Functions over the Balls in ${\boldsymbol {\mathbb {Z}^d}}$ : Dimension-Free Estimates | Litcius