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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76287Let $G$ 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.Functional AnalysisGroup Theory43A15The first $L^p$-cohomology of some finitely generated groups and $p$-harmonic functionstext