Brascamp-Lieb inequality for positive double John basis and its reverse  

作　　者：LI Ai-Jun LENG GangSong 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200444, China [2]School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

出　　处：《Science China Mathematics》2011年第2期399-410,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10971128);Shanghai Leading Academic Discipline Project (Grant No. S30104);Scientific Research and Innovation Project of Shanghai Municipal Education Commission (Grant No. 09ZZ94);Innovation Foundation of Shanghai University (Grant No. SHUCX080134)

摘　　要：In this paper, we establish the Brascamp-Lieb inequality for positive double John basis and its reverse. As their applications, we estimate the upper and lower bounds for the volume product of two unit balls with the given norms. Moreover, the Loomis-Whitney inequality for positive double John basis is obtained.In this paper, we establish the Brascamp-Lieb inequality for positive double John basis and its reverse. As their applications, we estimate the upper and lower bounds for the volume product of two unit balls with the given norms. Moreover, the Loomis-Whitney inequality for positive double John basis is obtained.

关 键 词：Brascamp-Lieb inequality and its reverse John basis positive double John basis mass transportation ZONOTOPE 

分 类 号：O178[理学—数学] TU753[理学—基础数学]