Speaker: John-Oliver MacLellan

Title: Necessity of Two Weight Ap for L^p Boundedness of Singular Integral Operators

Abstract:  The goal of this talk is to investigate necessary conditions for a singular integral operator to map L^p(v)-> L^p(u).  I will review the classical results for the maximal operator and Hilbert transform and then talk about more recent developments. I will conclude by presenting the proof of a new result.