Comparability and regularity estimates for symmetric nonlocal Dirichlet   forms
  The aim of this work is to study comparability of nonlocal Dirichlet forms. We provide sufficient conditions on the kernel for local and global comparability. As an application we prove a-priori estimates in H\"{o}lder spaces for solutions to integrodifferential equations. These solutions are defined with the help of symmetric nonlocal Dirichlet forms. 
Bart{\l}omiej Dyda, Moritz Kassmann
math.AP math.FA