Lars Becker

activity

20222024

collaborators

4 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.CA2023

A degree one Carleson operator along the paraboloid

Lars Becker

We prove $L^{p}$ bounds, $\frac{d ^{2} + 4 d + 2}{( d + 1 ) ^{2}} < p < 2 (d + 1)$ , for maximal linear modulations of singular integrals along paraboloids with frequencies in certain subspaces of…

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…

math.CA2022

Maximal Polynomial Modulations of Singular Radon Transforms

Lars Becker

We prove $L^{2} \to L^{p}$ estimates on the torus for maximal polynomial modulations of Calderón-Zygmund operators with anisotropic scaling. We obtain improved constants in these estim…