English

On the sharpness of Mockenhaupt's restriction theorem

Classical Analysis and ODEs 2013-06-11 v3

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.

Keywords

Cite

@article{arxiv.1211.6069,
  title  = {On the sharpness of Mockenhaupt's restriction theorem},
  author = {Kyle Hambrook and Izabella Laba},
  journal= {arXiv preprint arXiv:1211.6069},
  year   = {2013}
}

Comments

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