Meyers inequality and strong stability for stable-like operators

Richard F. Bass, Hua Ren

Let $\alpha \in (0,2)$, let $$\mathcal{E}(u,u)={\int }_{{\mathbb{R}}^d}{\int }_{{\mathbb{R}}^d}(u(y)-u(x){)}^2\frac{A(x,y)}{|x-y{|}^{d+\alpha }}dydx$$ be the Dirichlet form for a stable-like operator, let $$Γu(…