论文标题

Littlewood-Paley Theory for Curves的非架构变体

A non-archimedean variant of Littlewood--Paley theory for curves

论文作者

Hickman, Jonathan, Wright, James

论文摘要

我们证明了与非Archimedean本地场中矩曲线相关的扩展运算符的平方函数估计的变体。这些参数依赖于基础场的场扩展对单变量多项式的一致性(级别集合)的结构分析。我们的分析也可以适用于阿基米德环境。

We prove a variant of a square function estimate for the extension operator associated to the moment curve in non-archimedean local fields. The arguments rely on a structural analysis of congruences (sublevel sets) of univariate polynomials over field extensions of the base field. Our analysis can be adapted to the archimedean setting as well.

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