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

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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 -