The first $L^p$-cohomology of some finitely generated groups and $p$-harmonic functions

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dc.creatorPuls, Michael J.
dc.date2005-09-07
dc.date.accessioned2026-07-07T05:23:02Z
dc.date.available2026-07-07T05:23:02Z
dc.descriptionLet $G$ be a finitely generated infinite group and let $p > 1$. In this paper we make a connection between the first $L^p$-cohomology space of $G$ and $p$-harmonic functions on $G$. We also describe the elements in the first $L^p$-cohomology space of groups with polynomial growth, and we give an inclusion result for nonamenable groups.
dc.identifierhttps://arxiv.org/abs/math/0509170
dc.identifierhttp://arxiv.org/abs/math/0509170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76287
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.subject43A15
dc.titleThe first $L^p$-cohomology of some finitely generated groups and $p$-harmonic functions
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