Interpolations, convexity and geometric inequalities

Details Interpolations, convexity and geometric inequalities Interpolations, convexity and geometric inequalities

2011-09-16

arxiv.org/abs/1109.3652v1

Mathematics

Functional Analysis

Scientific paper

We survey some interplays between spectral estimates of H\"ormander-type,
degenerate Monge-Amp\`ere equations and geometric inequalities related to
log-concavity such as Brunn-Minkowski, Santal\'o or Busemann inequalities.

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