Intertwinings and generalized Brascamp–Lieb inequalities

• Marc Arnaudon ^[1] ; Michel Bonnefont ^[1] ; Aldéric Joulin ^[2]
  1. [1] University of Bordeaux

     University of Bordeaux

     Arrondissement de Bordeaux, Francia

     
  2. [2] Université de Toulouse

     Université de Toulouse

     Arrondissement de Toulouse, Francia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 3, 2018, págs. 1021-1054
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.