2 problems

Dimension-free Cauchy-transform conjecture. For every $w\in A_2$ and the Cauchy transform $C$ in $\mathbb C^n$, the displayed estimate holds with an implied constant independent of…

Let $W$ be a $d\times d$ matrix weight in $A_2$, and let $S_W$ denote the associated square function on $L^2(W)$. Matrix weighted square function conjecture. … The scalar analogue…