Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
This paper under review investigates the transition density for Markov processes generated by finite-range stable-like integro-differential operators on \(\mathbb R^d\). Two-sided estimates as well as parabolic Harnack inequalities are derived. As a main tool of the study, the weighted Poincaré inequality is established for the associated Dirichlet forms.
scientific article; zbMATH DE number 5375983
scientific article