New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Liebinequality
Authors: François Bolley, Dario Cordero-Erausquin, Yasuhiro Fujita, Ivan Gentil, Arnaud Guillin
Abstract: We recommend a model new Borell-Brascamp-Lieb inequality which ends up in novel sharp Euclidean inequalities similar to Gagliardo-Nirenberg-Sobolev inequalities in R^n and throughout the half-space R^n_+. This offers a model new bridge between the geometric pont of view of the Brunn-Minkowski inequality and the purposeful viewpoint of the Sobolev type inequalities. On this methodology we unify, simplify and outcomes by S. Bobkov-M. Ledoux, M. del Pino-J. Dolbeault and B. Nazaret
