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arXiv · 1510.03687

Lipschitz Changes of Variables between Perturbations of Log-concave Measures

Maria Colombo·Alessio Figalli·Yash Jhaveri
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Abstract

Extending a result of Caffarelli, we provide global Lipschitz changes of variables between compactly supported perturbations of log-concave measures. The result is based on a combination of ideas from optimal transportation theory and a new Pogorelov-type estimate. In the case of radially symmetric measures, Lipschitz changes of variables are obtained for a much broader class of perturbations.

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Maria Colombo, Alessio Figalli, Yash Jhaveri. 2015-10-13. Lipschitz Changes of Variables between Perturbations of Log-concave Measures. https://arxiv.org/abs/1510.03687

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