Electronic Communications in Probability

Integral criteria for transportation cost inequalities

Nathael Gozlan

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Abstract

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).

Article information

Source
Electron. Commun. Probab. Volume 11 (2006), paper no. 7, 64-77.

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

Permanent link to this document
http://projecteuclid.org/euclid.ecp/1465058850

Digital Object Identifier
doi:10.1214/ECP.v11-1198

Mathematical Reviews number (MathSciNet)
MR2231734

Zentralblatt MATH identifier
1112.60009

Subjects
Primary: 60E15 and 46E30

Keywords
Transportation-cost inequalities and Orlicz Spaces

Rights
This work is licensed under a Creative Commons Attribution 3.0 License.

Citation

Gozlan, Nathael. Integral criteria for transportation cost inequalities. Electron. Commun. Probab. 11 (2006), paper no. 7, 64--77. doi:10.1214/ECP.v11-1198. http://projecteuclid.org/euclid.ecp/1465058850.


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References

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