3 papers
math.CA2026
The shifted bilinear Hilbert transform
Lars Becker, Polona Durcik
We prove estimates for the shifted bilinear Hilbert transform, with a polylogarithmic bound in the size of the shift. As applications, we obtain -variation estimates for b…
math.CA2025
On Multi-linear Maximal Operators Along Homogeneous Curves
Lars Becker, Ben Krause
Suppose that \[ \vecγ(t) := (γ_1(t),\dots,γ_n(t)) = (a_1 t^{d_1},\dots,a_n t^{d_n}), \; \; \; 1\leq d_1 < \dots < d_n, \ a_i \neq 0\] is a homogeneous polynomial curve. We prove…
math.CO2024
Discrete Brunn-Minkowski Inequality for subsets of the cube
Lars Becker, Paata Ivanisvili, Dmitry Krachun +1
We show that for all we have We also show that for all finite , and any $V…