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.
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)
关键词
不等式
基础
反向
单位球
体积
估计
上积
Brascamp-Lieb inequality and its reverse, John basis, positive double John basis, mass transportation, zonotope
