SYMMETRIZED TALAGRAND INEQUALITIES ON EUCLIDEAN SPACES
2022 年 76 巻 1 号 p. 119-142
詳細
2022 年 76 巻 1 号 p. 119-142
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.
