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arXiv · 1908.08888

Symmetrization Inequalities for Probability metric spaces with Convex Isoperimetric profile

Joaquim Martin·Walter A. Ortiz
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Abstract

We obtain symmetrization inequalities on probability metric spaces with convex isoperimetric profile which incorporate in their formulation the isoperimetric estimator and that can be applied to provide a unified treatment of sharp Sobolev-Poincaré and Nash inequalities.

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Joaquim Martin, Walter A. Ortiz. 2019-08-23. Symmetrization Inequalities for Probability metric spaces with Convex Isoperimetric profile. https://arxiv.org/abs/1908.08888

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