Analysis Seminar on "Sparse domination and the strong maximal function" by Guillermo Rey (University of Minnesota)
Title: Sparse domination and the strong maximal function
Abstract: We study the problem of dominating the dyadic strong maximal function by (1,1)-type sparse forms based on rectangles with sides parallel to the axes, and show that such domination is impossible. Our proof relies on an explicit construction of a pair of maximally separated point sets with respect to an appropriately defined notion of distance.
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