The best constant for the centered maximal operator on radial decreasing functions

Details The best constant for the centered maximal operator on radial decreasing functions The best constant for the centered maximal operator on radial decreasing functions

2009-06-25

arxiv.org/abs/0906.4652v3

Mathematical Inequalities & Applications, 14 (1) 2011, 173-179

Mathematics

Classical Analysis and ODEs

corrected typos

Scientific paper

We show that the lowest constant appearing in the weak type (1,1) inequality
satisfied by the centered Hardy-Littlewood maximal operator on radial
integrable functions is 1.

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