On Borell-Brascamp-Lieb inequalities on metric measure spaces

DOI10.1007/s11118-009-9157-1zbMath1190.53035OpenAlexW2006978802MaRDI QIDQ973082

Kathrin Bacher

Publication date: 28 May 2010

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-009-9157-1

zbMATH Keywords

stabilityisomorphismsfunctional inequalitiesBrunn-Minkowski inequalitymetric measure spacesBorell-Brascamp-Lieb inequalitycurvature-dimension conditionPrékopa-Leindler inequality{\textsf{CD}}\((K,N)\)geodesic metric measure spacesnon-branching metric measure spacesstability under convergence

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (5)

Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ The Brunn-Minkowski inequality implies the CD condition in weighted Riemannian manifolds ⋮ Equality in Borell-Brascamp-Lieb inequalities on curved spaces ⋮ Geometric inequalities on Heisenberg groups ⋮ On the geometry of irreversible metric-measure spaces: convergence, stability and analytic aspects

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• A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
• Ricci curvature for metric-measure spaces via optimal transport
• On the geometry of metric measure spaces. I
• On the geometry of metric measure spaces. II
• The Brunn-Minkowski inequality
• On the Measure of Sum-Sets. (I) The Theorems of Brunn, Minkowski, and Lusternik

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