2 problems

Let $\mathcal{D}$ be the dyadic intervals on $\mathbb{R}$, let $\mathsf{P}_{b}^{(0,1)}$, $\mathsf{P}_{d}^{(0,1)}$, $\mathsf{P}_{d}^{(1,0)}$, and $\mathsf{P}_{b}^{(1,0)}$ denote the…

Let $B$ be an $n\times n$ matrix-valued function satisfying condition $(1.2)$, and let $\pi_B$ denote the associated paraproduct. Matrix-valued paraproduct conjecture. Lemma $2.3$…