English

On restriction of the Fourier transform to hypersufaces

Classical Analysis and ODEs 2010-04-16 v1

Abstract

It is considered Fourier transform of convex analytic hypersufaces on R4R^{4} . We prove that the Fourier restriction operator associated to convex analytic hypersufaces is \textit{(Lp,L2)(L_{p}, L_{2})} bounded whenever 1p2h+2h+21\le p\le \frac{2h+2}{h+2}. The result is sharp.

Keywords

Cite

@article{arxiv.1004.2601,
  title  = {On restriction of the Fourier transform to hypersufaces},
  author = {D. D. Turakulov},
  journal= {arXiv preprint arXiv:1004.2601},
  year   = {2010}
}