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Isoperimetric inequality and the poincare inequality for distributions of polynomials on convex compact set

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Abstract

An isoperimetric inequality and a Poincare-type inequality are proved for probability measures on the line that are the images of a uniform distribution on a convex compact subset of Rn under polynomial mappings of fixed degree d.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    L. M. Arutyunyan

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  1. L. M. Arutyunyan
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Correspondence to L. M. Arutyunyan.

Additional information

Published in Russian in Doklady Akademii Nauk, 2015, Vol. 465, No. 3, pp. 267–268.

The article was translated by the author.

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Arutyunyan, L.M. Isoperimetric inequality and the poincare inequality for distributions of polynomials on convex compact set. Dokl. Math. 92, 689–690 (2015). https://doi.org/10.1134/S1064562415060137

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  • DOI: https://doi.org/10.1134/S1064562415060137

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