Homogeneous maximizers of the Blaschke--Santalo-type functionals
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912927414484992 |
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| author | Kolesnikov, Alexander V. |
| author_facet | Kolesnikov, Alexander V. |
| contents | We study Blaschke--Santal{ó}-type inequalities for $N \ge 2$ sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of $N > 2$ sets.
We also discuss links to the multimagrinal optimal transportation problem and the related sharp transportation-information inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09818 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homogeneous maximizers of the Blaschke--Santalo-type functionals Kolesnikov, Alexander V. Functional Analysis 52A40 We study Blaschke--Santal{ó}-type inequalities for $N \ge 2$ sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of $N > 2$ sets. We also discuss links to the multimagrinal optimal transportation problem and the related sharp transportation-information inequalities. |
| title | Homogeneous maximizers of the Blaschke--Santalo-type functionals |
| topic | Functional Analysis 52A40 |
| url | https://arxiv.org/abs/2602.09818 |