A sharp estimate for the Hardy-Littlewood maximal function
泛函分析
2008-02-03 v2
摘要
The 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.
引用
@article{arxiv.math/9704211,
title = {A sharp estimate for the Hardy-Littlewood maximal function},
author = {L. Grafakos and Stephen J. Montgomery-Smith and O. Motrunich},
journal= {arXiv preprint arXiv:math/9704211},
year = {2008}
}
备注
Also available at http://www.math.missouri.edu/~stephen/preprints/