有限型多项式曲线的次临界贫乏性和$\ell^p$ -改进估计
Subcritical paucity and $\ell^p$-improving estimates for finite-type polynomial curves
摘要：
我证明了新的次临界界的$\ell^p$，改善问题沿限制子集的退化曲线。关键的输入是一个新的稀缺估计相关联的非齐次方程，这是证明使用消元法由于Wooley和Parsell-Wooley。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
