Open Access
2006 Integral criteria for transportation cost inequalities
Nathael Gozlan
Author Affiliations +
Electron. Commun. Probab. 11: 64-77 (2006). DOI: 10.1214/ECP.v11-1198


Abstract. In this paper, we provide a characterization of a large class of transportation-cost inequalities in terms of exponential integrability of the cost function under the reference probability measure. Our results completely extend the previous works by Djellout, Guillin and Wu (DGW03) and Bolley and Villani (BV03).


Download Citation

Nathael Gozlan. "Integral criteria for transportation cost inequalities." Electron. Commun. Probab. 11 64 - 77, 2006.


Accepted: 12 June 2006; Published: 2006
First available in Project Euclid: 4 June 2016

zbMATH: 1112.60009
MathSciNet: MR2231734
Digital Object Identifier: 10.1214/ECP.v11-1198

Primary: 60E15 and 46E30

Keywords: Transportation-cost inequalities and Orlicz Spaces

Back to Top