Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics

Sergey G. Bobkov, Michel Ledoux

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish (US)
Article number60
JournalJournal of Fourier Analysis and Applications
Issue number4
StatePublished - Aug 1 2020

Bibliographical note

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© 2020, Springer Science+Business Media, LLC, part of Springer Nature.


  • Fourier analytic inequalities
  • Transport distances
  • non-Euclidean metrics


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