A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909377279033344 |
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| author | Haddad, Julián |
| author_facet | Haddad, Julián |
| contents | We consider convex bodies in $M_{n,m}(\mathbb R)$, the space of matrices of $n$-rows and $m$-columns. A special case of fiber-symmetrization in $M_{n,m}(\mathbb R)$ was recently introduced in [5,6]. We prove a Rogers--Brascamp--Lieb--Luttinger type inequality with respect to this symmetrization, for quasi-concave functions and provide some applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13298 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices Haddad, Julián Functional Analysis Metric Geometry 52A20 We consider convex bodies in $M_{n,m}(\mathbb R)$, the space of matrices of $n$-rows and $m$-columns. A special case of fiber-symmetrization in $M_{n,m}(\mathbb R)$ was recently introduced in [5,6]. We prove a Rogers--Brascamp--Lieb--Luttinger type inequality with respect to this symmetrization, for quasi-concave functions and provide some applications. |
| title | A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices |
| topic | Functional Analysis Metric Geometry 52A20 |
| url | https://arxiv.org/abs/2309.13298 |