Ben Johnsrude

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20242026

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math.CA2026

Discrete nonlinear Hölder--Brascamp--Lieb inequalities: a local approach

Ben Johnsrude

We study nonlinear Hölder--Brascamp--Lieb inequalities over $Z^{n}$ . 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 $2 \neq = 0$ . We obtain polylogarithmic dependence on the scale parameter…

math.CA2024

Restricted projections and Fourier decoupling in $Q_{p}^{n}$

Ben Johnsrude, Zuo Lin

We prove a restricted projection theorem for Borel subsets of $Q_{p}^{n}$ in the regime $p > n$ . This generalizes results of Gan-Guo-Wang in the real setting. Our result is effe…

Discrete nonlinear Hölder--Brascamp--Lieb inequalities: a local approach

Sparse mean value estimates, algebraic number solution counting, and non-Archimedean Fourier analysis

High-low analysis and small cap decoupling over non-Archimedean local fields

Restricted projections and Fourier decoupling in Qpn​

Restricted projections and Fourier decoupling in $Q_{p}^{n}$