• Title of article

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

  • Author/Authors

    Michael J. Puls، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    11
  • From page
    391
  • To page
    401
  • Abstract
    Let G be a finitely generated infinite group and letp >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. © 2006 Elsevier Inc. All rights reserved.
  • Keywords
    Nonamenable groups , Groups with polynomial growth , Lp-Cohomology , p-Harmonic functions
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2006
  • Journal title
    Journal of Functional Analysis
  • Record number

    839170