Two weight inequality for the Hilbert transform

Research Horizons Seminar
Tuesday, March 2, 2010 - 12:00pm for 1 hour (actually 50 minutes)
Skiles 255
Michael Lacey – School of Math, Georgia Tech
Huy Huynh

Please Note: 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.