Analysis Seminar: "Sparse bounds for Walsh multipliers"

Speaker: Amalia V. Culiuc, Amherst College

Abstract: In recent years, sparse domination has become a common and efficient technique for proving weighted estimates for singular integral operators. Motivated by a conjecture of Andrei Lerner, we explore the sparse bounds for Marcinkiewicz multipliers and Littlewood-Paley square functions in the Walsh-Fourier setting. The weighted corollaries we obtain are sharp in the full range for the square function and in a restricted range for the Marcinkiewicz multipliers. Joint work with Wei Chen, Francesco Di Plinio,  Michael Lacey, and Yumeng Ou.

Host: Francesco Di Plinio