The first $L^p$-cohomology of some finitely generated groups and $p$-harmonic functions
Functional Analysis
2007-05-23 v1 Group Theory
Abstract
Let be a finitely generated infinite group and let . In this paper we make a connection between the first -cohomology space of and -harmonic functions on . We also describe the elements in the first -cohomology space of groups with polynomial growth, and we give an inclusion result for nonamenable groups.
Keywords
Cite
@article{arxiv.math/0509170,
title = {The first $L^p$-cohomology of some finitely generated groups and $p$-harmonic functions},
author = {Michael J. Puls},
journal= {arXiv preprint arXiv:math/0509170},
year = {2007}
}