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The Brunn–Minkowski inequality in spaces with bitriangular laws of composition

✍ Scribed by S. G. Bobkov

Publisher
Springer US
Year
2011
Tongue
English
Weight
105 KB
Volume
179
Category
Article
ISSN
1573-8795

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✍ Luis A. Caffarelli; David Jerison; Elliott H. Lieb 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 382 KB

Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1ÂN (1&t) vol 0 1ÂN 0 +t vol 0 1ÂN 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl