Non-local Dirichlet forms and symmetric jump processes
Non-local Dirichlet forms and symmetric jump processes
We consider the non-local symmetric Dirichlet form $(\mathcal {E}, \mathcal {F})$ given by \[ \mathcal {E} (f,f)=\int \limits _{\mathbb {R}^d} \int \limits _{\mathbb {R}^d} (f(y)-f(x))^2 J(x,y) dx dy \] with $\mathcal {F}$ the closure with respect to $\mathcal {E}_1$ of the set of $C^1$ functions on $\mathbb {R}^d$ with compact …