An Algebraic Brascamp-Lieb Inequality
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913194411294720 |
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| author | Duncan, Jennifer |
| author_facet | Duncan, Jennifer |
| contents | We prove a global nonlinear Brascamp-Lieb inequality for a general class of maps, encompassing polynomial and rational maps, as a consequence of the multilinear Kakeya-type inequalities of Zhang and Zorin-Kranich. We incorporate a natural affine-invariant weight that compensates for local degeneracies, and yields a uniform constant that depends only on the 'degree' of the maps involved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_03141 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An Algebraic Brascamp-Lieb Inequality Duncan, Jennifer Classical Analysis and ODEs We prove a global nonlinear Brascamp-Lieb inequality for a general class of maps, encompassing polynomial and rational maps, as a consequence of the multilinear Kakeya-type inequalities of Zhang and Zorin-Kranich. We incorporate a natural affine-invariant weight that compensates for local degeneracies, and yields a uniform constant that depends only on the 'degree' of the maps involved. |
| title | An Algebraic Brascamp-Lieb Inequality |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2001.03141 |