2024/10/28 by Milman, Emanuel, Yehudayoff, Amir
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2410.21093
The Blaschke-Santaló inequality states that the volume product |K| ⋅ |Ko| of a symmetric convex body K ⊂ ℝn is maximized by the standard Euclidean unit-ball. Cordero-Erausquin asked whether the inequality remains true for all even log-concave measures. We briefly survey the literature around this question and provide details for the known fact that the inequality holds true for all unconditional log-concave measures.