Title: Multi-scale sparse domination

Abstract: I will present a general sparse domination principle that applies to many multi-scale operators beyond Calderón—Zygmund theory. A key step in the argument are the L^p-L^q estimates for the corresponding single-scale operators, which are also a necessary condition under certain support assumptions on the operators. This is joint work with Joris Roos and Andreas Seeger.

About the Speaker: David Beltran received his  P.h.D from the University of Birmingham in Summer 2017 under the supervision of Jonathan Bennett. He was a postdoctoral researcher at the Basque Center for Applied Mathematics (BCAM) in Bilbao, Spain. He is currently a Van Vleck Visiting Assistant Professor at the University of Wisconsin-Madison within the Analysis group.  His main research interests lie in the area of Euclidean harmonic analysis and its interactions with dispersive PDE, geometric measure theory and analytic number theory.