3 papers
math.CA2026
Discrete nonlinear Hölder--Brascamp--Lieb inequalities: a local approach
Ben Johnsrude
We study nonlinear Hölder--Brascamp--Lieb inequalities over . Our method embeds the integers into a suitable compactification, over which local Hölder--Brascamp--Lieb…
math.CA2025
Sparse mean value estimates, algebraic number solution counting, and non-Archimedean Fourier analysis
Ben Johnsrude
We demonstrate two applications of Fourier decoupling theorems over non-Archimedean local fields to real-variable problems. These include short mean value estimates for exponential…
math.CA2024
High-low analysis and small cap decoupling over non-Archimedean local fields
Ben Johnsrude
We prove a small cap decoupling theorem for the parabola over a general non-Archimedean local field for which . We obtain polylogarithmic dependence on the scale parameter…