Hamming cube and martingales: duality

Series: 
Analysis Seminar
Wednesday, February 21, 2018 - 1:55pm
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Princeton University
,  
Organizer: 
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.