New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Liebinequality
Authors: François Bolley, Dario Cordero-Erausquin, Yasuhiro Fujita, Ivan Gentil, Arnaud Guillin
Summary: We suggest a brand new Borell-Brascamp-Lieb inequality which results in novel sharp Euclidean inequalities comparable to Gagliardo-Nirenberg-Sobolev inequalities in R^n and within the half-space R^n_+. This provides a brand new bridge between the geometric pont of view of the Brunn-Minkowski inequality and the purposeful viewpoint of the Sobolev sort inequalities. On this method we unify, simplify and outcomes by S. Bobkov-M. Ledoux, M. del Pino-J. Dolbeault and B. Nazaret
