Some remarks on Riesz transform on exterior Lipschitz domains

Renjin Jiang, Sibei Yang

Let $n\ge 2$ and $\mathcal{L}=-\mathrm{div}(A\nabla \cdot )$ be an elliptic operator on ${\mathbb{R}}^n$. Given an exterior Lipschitz domain $\hat{I}\text{c◯}$, let ${\mathcal{L}}_D$ be the elliptic op…