Speaker: Rodrigo Banuelos

Title: Sharp estimates for discrete singular integrals

Abstract: We discuss sharp norm estimates for discrete singular integrals on the d-dimensional lattice, d greater than or equal to 2. The operators are constructed as conditional expectations of martingale transforms. The results are motivated by the classical case of the Hilbert transform on the integers and Riesz transforms on the lattice. The talk is based on work with Mateusz Kwasnicki (Wrocław University, Poland) and Daesung Kim (Georgia Tech).