Intrinsic Ultracontractivity of Feynman-Kac Semigroups for Symmetric Jump Processes

Xin Chen, Jian Wang

Consider the symmetric non-local Dirichlet form $(D,\D(D))$ given by $$D(f,f)={\int }_{{\mathbb{R}}^d}{\int }_{{\mathbb{R}}^d}(f(x)-f(y){)}^{2}J(x,y)dxdy$$with $\D(D)$ the closure of the set of $…