Partitions and functional Santalo inequalities

Joseph Lehec (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We give a direct proof of a functional Santaló inequality due to Fradelizi and Meyer. This provides a new proof of the Blaschke-Santaló inequality. The argument combines a logarithmic form of the Prékopa-Leindler inequality and a partition theorem of Yao and Yao.

Mots clés: Functional inequalities

Mots clés: Inégalités fonctionnelles

Domaines: Analyse fonctionnelle [math.FA]

Joseph Lehec. Partitions and functional Santalo inequalities. Archiv der Mathematik, 2009, 92 (1), pp.89-94. ⟨10.1007/s00013-008-3014-0⟩. ⟨hal-00365767⟩