Tame algebra estimates for product and flag kernels on graded Lie groups
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910651216035840 |
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| author | Stokolosa, Amelia |
| author_facet | Stokolosa, Amelia |
| contents | We prove that product kernels and flag kernels on a direct product of graded Lie groups $G_1 \times \cdots \times G_ν$ satisfy so-called \emph{tame algebra estimates}. Tame algebra estimates are central to the study of nonlinear partial differential equations via, for instance, the Nash-Moser inverse function theorem. In addition, the special structure of these estimates generates a new Banach-algebraic proof of an inversion theorem for product kernels and flag kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11346 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tame algebra estimates for product and flag kernels on graded Lie groups Stokolosa, Amelia Classical Analysis and ODEs 42B20 (Primary), 42B37 and 43A85 (Secondary) We prove that product kernels and flag kernels on a direct product of graded Lie groups $G_1 \times \cdots \times G_ν$ satisfy so-called \emph{tame algebra estimates}. Tame algebra estimates are central to the study of nonlinear partial differential equations via, for instance, the Nash-Moser inverse function theorem. In addition, the special structure of these estimates generates a new Banach-algebraic proof of an inversion theorem for product kernels and flag kernels. |
| title | Tame algebra estimates for product and flag kernels on graded Lie groups |
| topic | Classical Analysis and ODEs 42B20 (Primary), 42B37 and 43A85 (Secondary) |
| url | https://arxiv.org/abs/2410.11346 |