欧几里得空间上的对称化Talagrand不等式
Symmetrized Talagrand Inequalities on Euclidean Spaces
摘要：
本文研究了由Fathi证明的与凸几何中的Blaschke-Santaló不等式有联系的对称化Talagrand不等式.作为结果的推论，在一定条件下得到了几个精化的函数不等式。给出了Fathi对称化Talagrand不等式在实直线上的另一种证明及其应用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
