Weighted Poincaré Inequalities for Nonlocal Dirichlet Forms

Xin Chen, Jian Wang

Let $V$ be a locally bounded measurable function such that $e^{-V}$ is bounded and belongs to $L^1(dx)$, and let ${\mu }_V(dx):=C_V{e}^{-V(x)}dx$ be a probability measure. We present th…