论文标题

欧几里得空间上对称的talagrand不平等

Symmetrized Talagrand Inequalities on Euclidean Spaces

论文作者

Tsuji, Hiroshi

论文摘要

在本文中,我们研究了Fathi证明的对称的Talagrand不平等,并与凸几何形状中的Blaschke-Santaló不平等有联系。作为我们结果的推论,在某些条件下,我们有几种精致的功能不平等。我们还提供了Fathi在真实行和某些应用程序上对称的Talagrand不平等的替代证明。

In this paper, we study the symmetrized Talagrand inequality that was proved by Fathi and has a connection with the Blaschke-Santaló inequality in convex geometry. As corollaries of our results, we have several refined functional inequalities under some conditions. We also give an alternative proof of Fathi's symmetrized Talagrand inequality on the real line and some applications.

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