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arXiv · 2410.11346

Tame algebra estimates for product and flag kernels on graded Lie groups

Amelia Stokolosa
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Abstract

We prove that product kernels and flag kernels on a direct product of graded Lie groups $G_1 \times \cdots \times G_{\nu}$ 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.

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Amelia Stokolosa. 2024-10-15. Tame algebra estimates for product and flag kernels on graded Lie groups. https://arxiv.org/abs/2410.11346

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