Restriction inequalities for the hyperbolic hyperboloid
Classical Analysis and ODEs
2020-07-15 v1
Abstract
In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to the hyperbolic, or one-sheeted, hyperboloid in three dimensions, endowed with a Lorentz-invariant measure. These inequalities are unconditional (and optimal) in the bilinear range .
Cite
@article{arxiv.2007.06990,
title = {Restriction inequalities for the hyperbolic hyperboloid},
author = {Benjamin Bruce and Diogo Oliveira e Silva and Betsy Stovall},
journal= {arXiv preprint arXiv:2007.06990},
year = {2020}
}