Lars Becker

collaborators

Showing math.CAShow all

2 papers · 1 filter

math.CA2026

The shifted bilinear Hilbert transform

Lars Becker, Polona Durcik

We prove $L^{p}$ estimates for the shifted bilinear Hilbert transform, with a polylogarithmic bound in the size of the shift. As applications, we obtain $r$ -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 th…