Gaussian-type isoperimetric inequalities in RCD $(K, \infty)$ probability spaces for positive $K$

In this paper we adapt the well-estabilished γ-calculus techniques to the context of RCD (K,∞) spaces, proving Bobkov's local isoperimetric inequality [12], [13] and, when K is positive, the Gaussian isoperimetric inequality in this class of spaces. The proof relies on the measure-valued γ 2 op...

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Bibliografische gegevens
Hoofdauteurs: Ambrosio, L, Mondino, A
Formaat: Journal article
Taal:English
Gepubliceerd in: European Mathematical Society 2016