Global restriction estimates for elliptic hyperboloids
Classical Analysis and ODEs
2020-08-04 v1
Abstract
We prove global Fourier restriction estimates for elliptic, or two-sheeted, hyperboloids of arbitrary dimension , extending recent joint work with Oliveira e Silva and Stovall. Our results are unconditional in the (adjoint) bilinear range, , and extend conditionally upon further progress toward the local restriction conjecture for elliptic surfaces.
Cite
@article{arxiv.2008.01005,
title = {Global restriction estimates for elliptic hyperboloids},
author = {Benjamin Bruce},
journal= {arXiv preprint arXiv:2008.01005},
year = {2020}
}