Lars Becker

collaborators

3 papers

math.CA2024

On trilinear singular Brascamp-Lieb integrals

Lars Becker, Polona Durcik, Fred Yu-Hsiang Lin

We classify all trilinear singular Brascamp-Lieb forms, completing the classification in the two dimensional case by Demeter and Thiele in arXiv:0803.1268. We use known results in…

math.CO2024

Discrete Brunn-Minkowski Inequality for subsets of the cube

Lars Becker, Paata Ivanisvili, Dmitry Krachun +1

We show that for all $A, B \subseteq {0, 1, 2}^{d}$ we have $∣ A + B ∣ \geq (∣ A ∣∣ B ∣)^{l o g (5) / (2 l o g (3))} .$ We also show that for all finite $A, B \subset Z^{d}$ , and any $V…

math.CA2023

Sharp Fourier extension for functions with localized support on the circle

Lars Becker

A well known conjecture states that constant functions are extremizers of the $L^{2} \to L^{6}$ Tomas-Stein extension inequality for the circle. We prove that functions supported in a…