On the sharpness of Mockenhaupt's restriction theorem

TL;DR

This paper demonstrates that the range of exponents in Mockenhaupt's restriction theorem for Salem sets is optimal, confirming the endpoint estimate by Bak and Seeger as sharp.

Contribution

It establishes the optimality of the exponent range in Mockenhaupt's restriction theorem for Salem sets, confirming the endpoint estimate as sharp.

Findings

The exponent range in Mockenhaupt's restriction theorem is optimal.

The endpoint estimate by Bak and Seeger is sharp.

The result confirms the limits of the theorem's applicability.

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.