4 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--Li…
math.CA2025
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…
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.CA2025
Small cap decoupling for the parabola with logarithmic constant
Ben Johnsrude
We note that the subpolynomial factor for the small cap decoupling constants for the truncated parabola may be controlled by a suit…