English

Dimensional transport inequalities and Brascamp-Lieb inequalities

Functional Analysis 2017-02-27 v1

Abstract

The goal of the present paper is to discuss new transport inequalities for convex measures. We retrieve some dimensional forms of Brascamp-Lieb inequalities. We also give some quantitative forms involving the Wasserstein's distances.

Keywords

Cite

@article{arxiv.1702.07584,
  title  = {Dimensional transport inequalities and Brascamp-Lieb inequalities},
  author = {Erik Thomas},
  journal= {arXiv preprint arXiv:1702.07584},
  year   = {2017}
}