论文标题
加强哲学：在本地领域进行平方功能的计数方法
Reinforcing a Philosophy: A counting approach to square functions over local fields
论文作者
论文摘要
在本文中，我们对扭转的曲线进行了扩展运算符的平方函数估计，并证明了表格$（t，ϕ（t））$的平面曲线的结果，其中$ ϕ（t）$ $至少是学位的多项式，至少是2。 $ k \ geq 3 $。我们的结果在特征0的所有局部领域都是统一的。
In this paper, we revisit the square function estimates for extension operators over curves with torsion and prove results for planar curves of the form $(T,ϕ(T))$ where $ϕ(T)$ is a polynomial of degree at least 2. This includes new results for degenerate, finite type curves endowed with the Euclidean arclength measure such as those given by monomials $ϕ(T) = T^k$ for $k \geq 3$. Our results are uniform over all local fields of characteristic 0.
