A Blaschke-Santaló inequality for unconditional log-concave measures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911198022205440 |
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| author | Milman, Emanuel Yehudayoff, Amir |
| author_facet | Milman, Emanuel Yehudayoff, Amir |
| contents | The Blaschke-Santaló inequality states that the volume product $|K| \cdot |K^{o}|$ of a symmetric convex body $K \subset \mathbb{R}^n$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21093 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Blaschke-Santaló inequality for unconditional log-concave measures Milman, Emanuel Yehudayoff, Amir Functional Analysis The Blaschke-Santaló inequality states that the volume product $|K| \cdot |K^{o}|$ of a symmetric convex body $K \subset \mathbb{R}^n$ 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. |
| title | A Blaschke-Santaló inequality for unconditional log-concave measures |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2410.21093 |