论文标题
$ l_p $ brunn-minkowski不平等的prékopa-leindler类型不平等
A Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality
论文作者
论文摘要
在本文中，我们证明了$ l_p $ brunn-minkowski不平等的prékopa-leindler型不平等。它扩展了Das Gupta [8]和Klartag [16]证明的不平等，因此恢复了Prékopa-Leindler不平等。此外，我们证明了功能性$ L_P $ Minkowski不等式。
In this paper, we prove a Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality. It extends an inequality proved by Das Gupta [8] and Klartag [16], and thus recovers the Prékopa-Leindler inequality. In addition, we prove a functional $L_p$ Minkowski inequality.
