Speaker: Mike Frazier (UTK)

Title:  Poincare inequalities and Matrix weights, part 2

Abstract:  We will present sharp forms of Poincare's inequality and discuss how they follow from mapping properties of the Riesz potential I_1.  We then discuss Hedberg's proof of these mapping properties, using the Hardy-Littlewood maximal function.  As time allows, we will discuss weighted versions of these results, which can be proved by adapting Hedberg's technique.