2 problems

Let $1<p<\infty$ and let $W=(w_{ij})\colon \mathbb{R}^n\times \mathbb{R}^m\to\mathbb{C}^{N\times N}$ be a matrix weight in the set of Muckenhoupt weights…

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…