Journal article
Gaussian-type isoperimetric inequalities in RCD $(K, \infty)$ probability spaces for positive $K$
- Abstract:
- 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 operator introduced by Savaré in [22].
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 225.3KB, Terms of use)
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- Publisher copy:
- 10.4171/rlm/745
Authors
- Publisher:
- European Mathematical Society
- Journal:
- Rendiconti Lincei - Matematica e Applicazioni More from this journal
- Volume:
- 27
- Issue:
- 4
- Pages:
- 497-514
- Publication date:
- 2016-10-04
- Acceptance date:
- 2016-04-10
- DOI:
- EISSN:
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1720-0768
- ISSN:
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1120-6330
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1061602
- UUID:
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uuid:a99d1013-e620-4463-b7bd-e560bc2212f5
- Local pid:
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pubs:1061602
- Source identifiers:
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1061602
- Deposit date:
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2019-10-18
Terms of use
- Copyright date:
- 2016
- Notes:
- This is an author version of the article. The final version is available online from the publisher's website
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