Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917479980204032 |
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| author | Nguyen, Hoai-Minh Perthame, Benoit |
| author_facet | Nguyen, Hoai-Minh Perthame, Benoit |
| contents | We establish several variants of the multilinear multiplier theorem of Coifman and Meyer. We also present examples that are not covered by existing theories. Our motivation comes from applications to the definition of the Jacobian and Hessian determinant in the distributional sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10259 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant Nguyen, Hoai-Minh Perthame, Benoit Classical Analysis and ODEs We establish several variants of the multilinear multiplier theorem of Coifman and Meyer. We also present examples that are not covered by existing theories. Our motivation comes from applications to the definition of the Jacobian and Hessian determinant in the distributional sense. |
| title | Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2605.10259 |