Cotlar’s identity for Hilbert transforms---old and new stories.

Series
Analysis Seminar
Time
Wednesday, November 14, 2018 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Tao Mei – Baylor University – Tao_Mei@baylor.edu
Organizer
Michael Lacey
Cotlar’s identity provides an easy (maybe the easiest) argument for the Lp boundedness of Hilbert transforms. E. Ricard and I discovered a more flexible version of this identity, in the recent study of the boundedness of Hilbert transforms on the free groups. In this talk, I will try to introduce this version of Cotlar’s identity and the Lp Fourier multipliers on free groups.