Sparse bounds for Spherical Averages

Analysis Seminar
Wednesday, August 29, 2018 - 1:55am
1 hour (actually 50 minutes)
Skiles 154
Georgia Tech

Spherical averages, in the continuous and discrete setting, are a canonical example of averages over lower dimensional varieties. We demonstrate here a new approach to proving the sparse bounds for these opertators. This approach is a modification of an old technique of Bourgain.