Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Restriction Theorem in Higher Dimensions

preprint2016arXivOpen access

Abstract

We prove the range of exponents in the general L2L^2 Fourier restriction theorem due to Mockenhaupt, Mitsis, Bak and Seeger is sharp for a large class of measures on Rd\mathbb{R}^d. This extends to higher dimensions the sharpness result of Hambrook and Łaba.

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