欧氏空间上的对称TALAGRAND不等式

Pub Date : 2020-04-26 DOI:10.2206/kyushujm.76.119

Hiroshi Tsuji

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引用次数: 5

摘要

本文研究了由Fathi证明的对称Talagrand不等式，它与凸几何中的Blaschke-Santalo不等式有关。作为我们结果的推论，我们在某些条件下得到了几个精化的泛函不等式。我们还给出了Fathi在实线上的对称Talagrand不等式的另一个证明和一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SYMMETRIZED TALAGRAND INEQUALITIES ON EUCLIDEAN SPACES

In this paper, we study the symmetrized Talagrand inequality that was proved by Fathi and has a connection with the Blaschke-Santalo 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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