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math.FANov 9, 2010
56
citations (OpenAlex)
authors
  • Joseph Lehec
institutions
  • Université Paris Cité
arXiv abstractPDF
paper

A direct proof of the functional Santalo inequality

arXiv:1011.2140 · doi:10.1016/j.crma.2008.11.015

Abstract

We give a simple proof of a functional version of the Blaschke-Santalo inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use the Blaschke-Santalo inequality.

4 pages, file might be slighlty different from the published version

References in corpus (1)

  • Partitions and functional Santalo inequalities

Cited by in corpus (13)

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  • A note on Santaló inequality for the polarity transform and its reverse
  • On the functional Blaschke-Santalo inequality
  • Regularized Brascamp--Lieb inequalities
  • On Mixed Quermassintegrals for log-concave Functions
  • Affine invariant maps for log-concave functions
  • A Funk perspective on billiards, projective geometry and Mahler volume
  • A Lower Bound for the Mahler Volume of Symmetric Convex Sets
  • Concavity properties of extensions of the parallel volume
  • Variations on R. Schwartz's inequality for the Schwarzian derivative
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