# Analysis Seminar on "Sparse domination and the strong maximal function" by Guillermo Rey (University of Minnesota)

### Event Description:

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.

### Event Contact

**Contact Name: **Maria Cristina Pereyra

**Contact Phone: **(505) 307-9629

**Contact Email: **crisp@math.unm.edu