Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593002 | Journal of Functional Analysis | 2006 | 11 Pages |
Abstract
Let G be a finitely generated infinite group and let p>1. In this paper we make a connection between the first Lp-cohomology space of G and p-harmonic functions on G. We also describe the elements in the first Lp-cohomology space of groups with polynomial growth, and we give an inclusion result for nonamenable groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory