TY - JOUR
T1 - Volume inequalities for isotropic measures
AU - Lutwak, Erwin
AU - Yang, Deane
AU - Zhang, Gaoyong
PY - 2007/12
Y1 - 2007/12
N2 - A direct approach to Ball's simplex inequality is presented. This approach, which does not use the Brascamp-Lieb inequality, also gives Barthe's characterization of the simplex for Ball's inequality and extends it from discrete to arbitrary measures. It also yields the dual inequality, along with equality conditions, and it does both for arbitrary measures.
AB - A direct approach to Ball's simplex inequality is presented. This approach, which does not use the Brascamp-Lieb inequality, also gives Barthe's characterization of the simplex for Ball's inequality and extends it from discrete to arbitrary measures. It also yields the dual inequality, along with equality conditions, and it does both for arbitrary measures.
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U2 - 10.1353/ajm.2007.0038
DO - 10.1353/ajm.2007.0038
M3 - Article
AN - SCOPUS:38049107960
SN - 0002-9327
VL - 129
SP - 1711
EP - 1723
JO - American Journal of Mathematics
JF - American Journal of Mathematics
IS - 6
ER -