Maximal functions, the modified Bellman technique, and Muckenhoupt weights

When
Start: 12/09/2009 - 4:15pm
End  : 12/09/2009 - 5:15pm

Category
Colloquium

Speaker
Winston Ou, Scripps College

Abstract

In the Bellman Function method promulgated in the late 90's by Nazarov, Treil, and Volberg, some guesswork, if educated, was involved in determining a majorant of the relevant Bellman function (which one generally had no hope of nding). In 2003, however, it was demonstrated by Vasyunin that there was a possibility of nding the actual Bellman function as the solution of a Monge-Ampere PDE; this technique was subsequently used to obtain sharp versions of various classical results in harmonic analysis (including the area of Muckenhoupt weights). We will give a sketch of the modi ed technique and outline some work in progress (with T. Wall) using it.

Where
Millikan 134, Pomona College

Misc. Information

Refreshments served at 3:45 p.m. Harry Mullikin Room, Millikan 209 The dinner will be hosted by Prof. Erica Flapan. If interested in attending, please call ext. 18711