Abstract : We prove a reverse form of the multidimensional Brascamp-Lieb inequality. Our method also gives a new way to derive the Brascamp-Lieb inequality and is rather convenient for the study of equality cases.
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Franck Barthe. On a reverse form of the Brascamp-Lieb inequality. Inventiones Mathematicae, Springer Verlag, 1998, 134 (2), pp.335--361. ⟨10.1007/s002220050267⟩. ⟨hal-00694256⟩