Abstract
We prove that a general class of measures, which includes log-concave measures, is 1/n-concave according to the terminology of Borell, with nadditional assumptions on the measures or on the sets, such as symmetries. This generalizes results of Gardner and Zvavitch published in 2010.
Original language | English (US) |
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Pages (from-to) | 775-786 |
Number of pages | 12 |
Journal | Proceedings of the American Mathematical Society |
Volume | 144 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2016 |
Bibliographical note
Publisher Copyright:© 2015 American Mathematical Society.
Keywords
- Brunn-Minkowski inequality
- Convex measure
- Gaussian measure