Some remarks on the restriction of the Fourier transform to surfaces
Abstract
For a class of kernels, we prove the Lp estimate for the exotic Riesz potential, with which a restriction theorem of the Fourier transform to surfaces of half the ambient dimension is proved. A simpler proof of Barcelo's result is given. We also find that it is possible to combine the Hausdorff-Young theorem with the Fefferman-Zygmund method to prove some optimal results on the restriction theorem.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1017/S0305004100075848
Publication Date
1-1-1993
Recommended Citation
Drury, S. W., and K. Guo. "Some remarks on the restriction of the Fourier transform to surfaces." In Mathematical Proceedings of the Cambridge Philosophical Society, vol. 113, no. 1, pp. 153-159. Cambridge University Press, 1993.
Journal Title
Mathematical Proceedings of the Cambridge Philosophical Society
