论文标题
有限型多项式曲线的亚临界差和$ \ ell^p $ - 提出的估计值
Subcritical paucity and $\ell^p$-improving estimates for finite-type polynomial curves
论文作者
论文摘要
我证明了沿退化曲线的受限子集的$ \ ell^p $提示问题的新的亚临界界限。关键的输入是针对相关的不均匀方程的新的稀疏估计，该方程是使用Wooley和Parsell-Wooley造成的消除方法证明的。
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.
