3 problems

Let $\mathbf{v}\in L^2(\mathbb{R}^2)$ be a divergence-free vector field. The chain rule property $\operatorname{CRP}_\infty$ is the stationary analogue of the renormalization prope…

Let $p=2$ and let $\mathbf{v}\in L^2(\mathbb{R}^d)$ be a compactly supported, divergence-free vector field. Define … as an operator on $L^2(\mathbb{R}^d)$. Nelson's conjecture. The…

Divergence-free convolution trace inequality conjecture. The inequality