Harnack's inequality on homogeneous spaces |
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| Authors: | R. Garattini |
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| Affiliation: | (1) Mécanique et Gravitation, Université de Mons-Hainaut, Faculté des Sciences, 15 Avenue Maistriau, B-7000 Mons, Belgium;(2) Facoltà di Ingegneria, Università degli Studi di Bergamo, Viale Marconi 5, 24044 Dalmine (Bergamo), Italy |
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| Abstract: | We consider a homogeneous space X=(X, d, m) of dimension v≥1 and a local regular Dirichlet form in L2 (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 c0 and c1 Entrata in Redazione il 19 giugno 1996. |
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