On the sharpness of Mockenhaupt's restriction theorem

Abstract

We prove that the range of exponents in Mockenhaupt's restriction theorem for Salem sets, with the endpoint estimate due to Bak and Seeger, is optimal.

The accepted version, to appear in GAFA. The final publication is available at http://link.springer.com/article/10.1007/s00039-013-0240-9

References in corpus (1)

• A Fourier restriction theorem based on convolution powers

Cited by in corpus (7)

• Convolution Powers of Salem Measures with Applications
• Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Restriction Theorem in Higher Dimensions
• Near-optimal restriction estimates for Cantor sets on the parabola
• Salem sets with no arithmetic progressions
• Sets of Salem type and sharpness of the $L^2$-Fourier restriction theorem
• A Fourier restriction theorem based on convolution powers
• Arithmetic properties of sparse subsets of ${\mathbb{Z}}^n$