Sharp weak type inequalities for the dyadic maximal operator

2010/07/28 by Eleftherios Nikolidakis, Nikolidakis, Eleftherios
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1007.4980

27 pages

arxiv created 2014/03/30 · arxiv updated 2014/04/01

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.

Related

• Optimal weak type estimates for dyadic-like maximal operators
• Local lower norm estimates for dyadic maximal operators and related Bellman functions
• An alternative approach to sharp L¹ estimates for the dyadic maximal operator
• Extremal problems related to maximal dyadic like operators
• Sharp integral inequalities for the dyadic maximal operator and\n applications