Stability of EHI and regularity of MMD spaces

2020/08/12 by Martin T. Barlow, Zhen-Qing Chen, Barlow, Martin T. +3 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2008.05152

Abstract

We show that elliptic Harnack inequality is stable under form-bounded perturbations for strongly local Dirichlet forms on complete locally compact separable metric spaces that satisfy metric doubling property (or equivalently, relative ball connectedness property).

Cited by

• An approach to sub-Gaussian heat kernel estimates via analysis on metric spaces

Related

• Elliptic Harnack inequalities for symmetric non-local Dirichlet forms
• Stability of elliptic Harnack inequality
• Robust estimates for elliptic nonlocal operators on doubling spaces
• Elliptic Harnack inequalities for mixed local and nonlocal p-energy form on metric measure spaces
• The weak elliptic Harnack inequality revisited