Existence of the gauge for fractional Laplacian Schrödinger operators

Michael W. Frazier, Igor E. Verbitsky

Let $\Omega \subseteq {\mathbb{R}}^n$ be an open set, where $n\ge 2$. Suppose $\omega$ is a locally finite Borel measure on $\Omega$. For $\alpha \in (0,2)$, define the fractional Laplacian $(-\triangle…