Lars Becker

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math.CA2025

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.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…