Gaussian-type isoperimetric inequalities in RCD probability spaces for positive

  • Luigi Ambrosio

    Scuola Normale Superiore, Pisa, Italy
  • Andrea Mondino

    Universität Zürich, Switzerland

Abstract

In this paper we adapt the well-estabilished -calculus techniques to the context of RCD spaces, proving Bobkov’s local isoperimetric inequality [12], [13] and, when is positive, the Gaussian isoperimetric inequality in this class of spaces. The proof relies on the measure-valued operator introduced by Savaré in [22].

Cite this article

Luigi Ambrosio, Andrea Mondino, Gaussian-type isoperimetric inequalities in RCD probability spaces for positive . Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 27 (2016), no. 4, pp. 497–514

DOI 10.4171/RLM/745