Regularity results for stable-like operators

Richard F. Bass

For $\alpha \in [1,2)$ we consider operators of the form $$Lf(x)={\int }_{R^d}[f(x+h)-f(x)-1_{(|h|\le 1)}\nabla f(x)\cdot h]\frac{A(x,h)}{|h{|}^{d+\alpha }}$$ and for $\alpha \in (0,1)$ we consider…