Sharp weak type inequalities for the dyadic maximal operator
arXiv:1007.4980
Abstract
We obtain sharp estimates for the localized distribution function of Mϕ, when ϕbelongs 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.
arXiv comment27 pages