Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics

被引：4
|
作者：
Bobkov, Sergey G. [1 ]
Ledoux, Michel [2 ,3 ]
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Univ Toulouse Paul Sabatier, Inst Math Toulouse, F-31062 Toulouse, France
[3] Inst Univ France, Paris, France
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2020年 / 26卷 / 04期
关键词：
Transport distances; Fourier analytic inequalities; non-Euclidean metrics; DISTANCES; BOUNDS;
D O I：
10.1007/s00041-020-09766-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We explore upper bounds on Kantorovich transport distances between probability measures on the Euclidean spaces in terms of their Fourier-Stieltjes transforms, with focus on non-Euclidean metrics. The results are illustrated on empirical measures in the optimal matching problem on the real line.
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页数：27
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