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 ...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.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 10971128)Shanghai Leading Academic Discipline Project (Grant No. S30104)+1 种基金Scientific Research and Innovation Project of Shanghai Municipal Education Commission (Grant No. 09ZZ94)Innovation Foundation of Shanghai University (Grant No. SHUCX080134)
文摘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.
