We prove optimal radially weighted L-2-norm inequalities for the Fourier extension operator associated to the unit sphere in R-n. Such inequalities valid at all scales are well understood. The purpose of this short paper is to establish certain more delicate single-scale versions of these.
|Number of pages||11|
|Journal||Journal of the australian mathematical society|
|Publication status||Published - Jun 2008|
- Fourier extension operators
- weighted inequalities