Two weight estimates for positive dyadic operators

By Amanda Culiuc

November 27, 2012

Abstract

In this talk, I will give a necessary and sufficient condition for the boundedness of the maximal operator on weighted Lp spaces. We will consider a probabilistic stopping time argument and if time permits, will extend this argument to a proof that certain testing conditions on weights guarantee weighted Lp boundedness for all positive dyadic operators. This talk assumes no knowledge beyond first semester real analysis, does not include a timeline, and may not use any pirate jokes. In spite of all these drawbacks, it may still be interesting. And if not, at least there is free food...