Parabolic measure on domains of class Lip
Perturbation theory for nonlinear Dirichlet problems.
Poisson Integrals and Boundary Components of Symmetric Spaces.
Poisson kernel characterization of Reifenberg flat chord arc domains
Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
The purpose of the paper is to extend results of the potential theory of the classical Schrödinger operator to the α-stable case. To obtain this we analyze a weak version of the Schrödinger operator based on the fractional Laplacian and we prove the Conditional Gauge Theorem.