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

Jonathan Hickman, James Wright

Published 2022-03-25Version 1

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.