TY - GEN
T1 - Marginals of geometric inequalities
AU - Klartag, Boaz
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34247597379&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-72053-9_9
DO - 10.1007/978-3-540-72053-9_9
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:34247597379
SN - 3540720529
SN - 9783540720522
T3 - Lecture Notes in Mathematics
SP - 133
EP - 166
BT - Geometric Aspects of Functional Analysis
PB - Springer Verlag
ER -