JournalsrmiVol. 34, No. 3pp. 1021–1054

Intertwinings and generalized Brascamp–Lieb inequalities

  • Marc Arnaudon

    Université de Bordeaux I, Talence, France

  • Michel Bonnefont

    Université de Bordeaux I, Talence, France

  • Aldéric Joulin

    Université de Toulouse, France
Intertwinings and generalized Brascamp–Lieb inequalities cover
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Abstract

We continue our investigation of the intertwining relations for Markov semigroups and extend our previous results to multi-dimensional diffusions. In particular these formulae entail new functional inequalities of Brascamp–Lieb type for log-concave distributions and beyond. Our results are illustrated by some classical and less classical examples.

Cite this article

Marc Arnaudon, Michel Bonnefont, Aldéric Joulin, Intertwinings and generalized Brascamp–Lieb inequalities. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1021–1054

DOI 10.4171/RMI/1014