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arxiv: 2008.05152 · v3 · pith:OECR6IPHnew · submitted 2020-08-12 · 🧮 math.AP · math.PR

Stability of EHI and regularity of MMD spaces

Martin T. Barlow , Zhen-Qing Chen , Mathav Murugan This is my paper
classification 🧮 math.AP math.PR
keywords metricpropertyspacesballcompactcompleteconnectednessdirichlet
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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).

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  1. Boundary Harnack principle on uniform domains

    math.PR 2024-02 unverdicted novelty 7.0

    Proves scale-invariant boundary Harnack principle on uniform domains under scale-invariant elliptic Harnack inequality without geodesic assumption or a priori Green functions.