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

摘要

Let 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. (C) 2006 Elsevier Inc. All rights reserved.