2 problems

Let $d\ge 2$, $1<p<\infty$, and let $\mathbf{R}^{(jk)}$ be the probabilistic continuous second-order Riesz transforms on $\mathbb{R}^d$. Let $p^*=\max\\{p,p/(p-1)\\}$, and let…

Weak differential subordination conjecture. There exists $C_p\geq 1$ such that, for every pair of continuous martingales $M,N:\mathbb R_+\times\Omega\to X$ with $N$ weakly differen…