Geodesic
Borell's Generalized Prékopa-Leindler Inequality: A Simple Proof
Journal of convex analysis, Tome 24 (2017) no. 3, pp. 807-817
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We present a simple proof of Christer Borell's general inequality in the Brunn-Minkowski theory. We then discuss applications of Borell's inequality to the log-Brunn-Minkowski inequality of K. J. Böröczky, E. Lutwak, D. Yang and G. Zhang [The log-Brunn-Minkowski inequality, Adv. Math. 231 (2012) 1974-1997].
Classification : 28A75, 52A40
Mots-clés : Brunn-Minkowski, convex body, log-Brunn-Minkowski inequality, mass transportation 
@article{JCA_2017_24_3_JCA_2017_24_3_a4,
     author = {A. Marsiglietti},
     title = {Borell's {Generalized} {Pr\'ekopa-Leindler} {Inequality:} {A} {Simple} {Proof}},
     journal = {Journal of convex analysis},
     pages = {807--817},
     year = {2017},
     volume = {24},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a4/}
}
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A. Marsiglietti. Borell's Generalized Prékopa-Leindler Inequality: A Simple Proof. Journal of convex analysis, Tome 24 (2017) no. 3, pp. 807-817. http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a4/