This note consists of three parts. In the first, we observe that a surprisingly rich family of functional inequalities may be proven from the Brunn-Minkowski inequality using a simple geometric technique. In the second part, we discuss consequences of a functional version of Santal'o's inequality, and in the third part we consider functional counterparts of mixed volumes and of Alexandrov-Fenchel inequalities.
|Title of host publication||Geometric Aspects of Functional Analysis|
|Subtitle of host publication||Israel Seminar 2004-2005|
|Number of pages||34|
|ISBN (Print)||3540720529, 9783540720522|
|State||Published - 2007|
|Name||Lecture Notes in Mathematics|