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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