Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1,{\hat{I}}^2}$ open sets

Renming Song, Peixue Wu, Shukun Wu

Let $D$ be an open set of ${\mathbb{R}}^d$, $\hat{I}\pm \in (0,2)$ and let ${\mathcal{L}}_{\hat{I}}{\pm }^D$ be the generator of the censored $\hat{I}\pm$-stable process in $D$. In this paper, we establish sharp t…