A sharp estimate for the Hardy-Littlewood maximal function

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dc.creatorGrafakos, L.
dc.creatorMontgomery-Smith, Stephen J.
dc.creatorMotrunich, O.
dc.date1997-04-07
dc.date1999-12-03
dc.date.accessioned2026-07-07T09:08:26Z
dc.date.available2026-07-07T09:08:26Z
dc.descriptionThe best constant in the usual Lp norm inequality for the centered Hardy-Littlewood maximal function on R1 is obtained for the class of all ``peak-shaped'' functions. A positive function on the line is called ``peak-shaped'' if it is positive and convex except at one point. The techniques we use include convexity and an adaptation of the standard Euler-Langrange variational method.
dc.descriptionAlso available at http://www.math.missouri.edu/~stephen/preprints/
dc.identifierhttps://arxiv.org/abs/math/9704211
dc.identifierhttp://arxiv.org/abs/math/9704211
dc.identifierStudia Math, 134, (1999), 57-67
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150718
dc.subjectFunctional Analysis
dc.subject42B25
dc.titleA sharp estimate for the Hardy-Littlewood maximal function
dc.typetext

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