Article contents
Weighted Restriction for Curves
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove weighted norm inequalities for the Fourier transform of the form
where v is a nonnegative weight function on ℝd and ψ: [— 1,1 ] —> ℝd is a nondegenerate curve. Our results generalize unweighted (i.e. v = 1) restriction theorems of M. Christ, and two-dimensional weighted restriction theorems of C. Carton-Lebrun and H. Heinig.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1993
References
- 1
- Cited by