Hamming cube and martingales: duality

Series
Analysis Seminar
Time
Wednesday, February 21, 2018 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Paata Ivanisvili – Princeton University – ivanishvili.paata@gmail.comhttp://users.math.msu.edu/users/ivanisvi/
Organizer
Galyna Livshyts
I will speak how to dualize'' certain martingale estimates related to the dyadic square function to obtain estimates on the Hamming and vice versa. As an application of this duality approach, I will illustrate how to dualize an estimate of Davis to improve a result of Naor--Schechtman on the real line. If time allows we will consider one more example where an improvement of Beckner's estimate will be given.