A weak type estimate for oscillatory singular integrals

Analysis Seminar
Wednesday, September 14, 2016 - 14:05
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech
The Ricci-Stein theory of singular integrals concerns operators of the form \int e^{i P(y)} f (x-y) \frac {dy}y.The L^p boundedness was established in the early 1980's, and the weak-type L^1 estimate by Chanillo-Christ in 1987.  We establish the weak type estimate for the maximal truncations. This method of proof might well shed much more information about the fine behavior of these transforms.  Joint work with Ben Krause.