Sharp weak type inequalities for the dyadic maximal operator

Details Sharp weak type inequalities for the dyadic maximal operator Sharp weak type inequalities for the dyadic maximal operator

2010-07-28

arxiv.org/abs/1007.4980v1

Mathematics

Functional Analysis

27 pages

Scientific paper

We obtain sharp estimates for the localized distribution function of M\phi,
when \phi belongs to Lp,\inf where M is the dyadic maximal operator. We obtain
these estimates given the L1 and Lq norm, q < p and certain weak Lp-conditions.

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