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arXiv · 2203.13644

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

Jonathan Hickman·James Wright
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Abstract

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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Jonathan Hickman, James Wright. 2022-03-25. A non-archimedean variant of Littlewood--Paley theory for curves. https://arxiv.org/abs/2203.13644

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