Geodesic
A sharp estimate for the Hardy-Littlewood maximal function
Studia Mathematica, Tome 134 (1999) no. 1, pp. 57-67

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The best constant in the usual $L^p$ norm inequality for the centered Hardy-Littlewood maximal function on $ℝ^1$ is obtained for the class of all "peak-shaped" functions. A function on the line is called peak-shaped if it is positive and convex except at one point. The techniques we use include variational methods.
DOI : 10.4064/sm-134-1-57-67

Loukas Grafakos 1 ; Stephen Montgomery-Smith 1 ; Olexei Motrunich 1

1 
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Loukas Grafakos; Stephen Montgomery-Smith; Olexei Motrunich. A sharp estimate for the Hardy-Littlewood maximal function. Studia Mathematica, Tome 134 (1999) no. 1, pp. 57-67. doi: 10.4064/sm-134-1-57-67

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