Characterising Sobolev inequalities by controlled coarse homology and applications for hyperbolic spaces

• Juhani Koivisto ^[1]
  1. [1] University of Southern Denmark

     University of Southern Denmark

     Dinamarca

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 3, 2018, págs. 1055-1070
• Idioma: inglés
• DOI: 10.4171/RMI/1015
• Texto completo no disponible (Saber más ...)
• Resumen

  • We give a Sobolev inequality characterisation for the vanishing of the fundamental class in the controlled coarse homology of Nowak and Špakula for quasiconvex uniform spaces that support a local weak (1, 1)-Poincaré inequality. Among the applications, we consider visual Gromov hyperbolic spaces.