Dimensional transport inequalities and Brascamp-Lieb inequalities

2017/02/24 by Erik G. F. Thomas, Thomas, Erik
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1702.07584

openalex publication_date 2017/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of the present paper is to discuss new transport inequalities for convex measures. We retrieve some dimensional forms of Brascamp-Lieb inequalities. We also give some quantitative forms involving the Wasserstein's distances.

Citations

• Boundary regularity of maps with convex potentials
• Polar factorization and monotone rearrangement of vector‐valued functions

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