Harnack Inequality on Homogeneous Spaces

Remo Garattini

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arXiv · funct-an/9604003

Harnack Inequality on Homogeneous Spaces

Remo Garattini

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Abstract

We consider a homogeneous space $X=(X,d,m) $ of dimension $ν\geq1$ and a local regular Dirichlet form in $L^{2}(X,m) .$ We prove that if a Poincaré inequality holds on every pseudo-ball $B(x,R) $ of $X$, then an Harnack's inequality can be proved on the same ball with local characteristic constant $c_{0}$ and $c_{1}$

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BibTeX RIS

Remo Garattini. 2000-08-03. Harnack Inequality on Homogeneous Spaces. https://arxiv.org/abs/funct-an/9604003

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