Two weight inequality for the Hilbert transform

Series: 
Research Horizons Seminar
Tuesday, March 2, 2010 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 255
,  
School of Math, Georgia Tech

Hosted by: Huy Huynh and Yao Li

The Hilbert transform is a foundational transform, with deep connections to electrical charge, and  analyticity.  The `two weight inequality for the Hilbert transform' concerns the most general setting in which the Hilbert transform admits a (weighted) L^2 inequality.  We will give a couple of (surprising?) ways that this question arises.  And we will indicate the surprise that is behind the recent description of all setting in which the two weight inequality holds.