Abnormal boundary decay for stable operators

Soobin Cho, Renming Song

Assume $\alpha \in (0,2)$ and $d\ge 2$. Let ${\mathcal{L}}^{\alpha }$ be the generator of a symmetric, but not necessarily isotropic, $\alpha$-stable process $X$ in ${\mathbb{R}}^d$ whose Lévy density is…