Lars Becker

activity

20222024

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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…