A sharp analog of Young's inequality on S N and related entropy inequalities

Journal of Geometric Analysis

Volumn 14, Issue 3, 2004, Pages 487-520

  Carlen, E A ^a   Lieb, E H ^b   Loss, M ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

best constants; entropy; Inequalities; optimizers

Indexed keywords

EID: 84867955093     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02922101     Document Type: Article

References (8)

1. K. Ball 1991 Volume ration and a reverse isoperimetric inequality J. London Math. Soc. 44 2 351 359 10.1112/jlms/s2-44.2.351 1136445 0694.46010
2. F. Barthe 1998 Optimal Young's inequality and its converse, a simple proof Geom. Func. Anal. 80 234 242 10.1007/s000390050054 1616143
3. F. Barthe 1998 On a reverse form of the Brascamp-Lieb inequality Invent. Math. 134 2 235 361 10.1007/s002220050267 1650312
4. Barthe, F. and Cordero-Erausquin, D. Inverse Brascamp-Lieb inequalities along the heat equation, to appear inGeometric Aspects of Functional Analysis, 2002-2003, Milman, V. and Schechtman, G., Eds., Lecture Notes in Mathematics, 1850, Springer Verlag, Berlin, (2004).
5. H.J. Brascamp E.H. Lieb 1976 Best constants in Young's inequality, its converse, and its generalization to more than three functions Adv. Math. 20 151 173 10.1016/0001-8708(76)90184-5 412366 0339.26020
6. Carlen, E.A., Carvalho, M.C., and Loss, M. Many body aspects of approach to equilibrium, in Journes Equations aux derivees partielles, Nantes, 5-9 juin (2000).
7. Carlen, E.A., Carvalho, M.C., and Loss, M. Determination of the spectral gap for Kac's master equation and related stochastic evolution,Acta Math., 191, 1-54 (2003). arXiv math-ph/0109003.
8. E.H. Lieb 1990 Gaussian kernels have only Gaussian maximizers Invent. Math. 102 179 208 10.1007/BF01233426 1069246 0726.42005