Anantharam, Jog and Nair recently unified the Shannon-Stam inequality and the entropic form of the Brascamp-Lieb inequalities under a common inequality. They left open the problems of extremizability and characterization of extremizers. Both questions are resolved in the present paper.
翻译:Anantharam、Jog和Nair最近统一了香农-Stam不平等和Brascamp-Lieb不平等在共同不平等下的昆虫形式,它们没有解决极端性的问题和极端性的特点,本文件解决了这两个问题。