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arXiv · 2201.11468

Subcritical paucity and $\ell^p$-improving estimates for finite-type polynomial curves

Kevin Hughes
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Abstract

I prove new subcritical bounds for the $\ell^p$-improving problem along restricted subsets of a degenerate curve. The key input is a new paucity estimate for associated inhomogeneous equations which is proven using an elimination method due to Wooley and Parsell--Wooley.

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Kevin Hughes. 2022-01-27. Subcritical paucity and $\ell^p$-improving estimates for finite-type polynomial curves. https://arxiv.org/abs/2201.11468

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