Student Harmonic Analysis and PDE Seminar (HADES): Entangled multilinear forms and applications

Seminar | February 14 | 3:40-5 p.m. | 740 Evans Hall

 Polona Durcik, University of Bonn

 Department of Mathematics

We discuss $L^p$ estimates for some multilinear singular integral forms and their applications to sharp quantitative norm convergence of ergodic averages with respect to two commuting transformations, quantitative cancellation estimates for the simplex Hilbert transform, and a question on side lengths of corners in dense subsets of the Euclidean space.