arXiv:1510.03687 Abstract | arXiv Analytics

arXiv:1510.03687 [math.AP]Abstract References Reviews Resources

Lipschitz Changes of Variables between Perturbations of Log-concave Measures

Maria Colombo, Alessio Figalli, Yash Jhaveri

Published 2015-10-13Version 1

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.

Categories: math.AP

Keywords: log-concave measures, global lipschitz changes, optimal transportation theory, pogorelov-type estimate, radially symmetric measures

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