Sharpness of the Mockenhaupt–Mitsis–Bak–Seeger restriction theorem in higher dimensions

Kyle Hambrook, Izabella Łaba

Type: Article

Publication Date: 2016-07-27

Citations: 8

DOI: https://doi.org/10.1112/blms/bdw041

Abstract

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

Locations

Bulletin of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF
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+	Extensions of the Stein-Tomas theorem	2010	Jong-Guk Bak Andreas Seeger
+	Salem sets and restriction properties of Fourier transforms	2000	Gerd Mockenhaupt
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+ PDF Chat	Arithmetic Progressions in Sets of Fractional Dimension	2009	Izabella Łaba Malabika Pramanik
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