Optimal range of Haar martingale transforms and its applications

Sergey Astashkin, Jinghao Huang, Marat Pliev +2

Let $({\mathcal{F}}_n{)}_{n\ge 0}$ be the standard dyadic filtration on $[0,1]$. Let ${\mathbb{E}}_{{\mathcal{F}}_n}$ be the conditional expectation from $L_1=L_1[0,1]$ onto $\mathcal{F}…