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Restriction inequalities for the hyperbolic hyperboloid (2007.06990v1)
Published 14 Jul 2020 in math.CA
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 $q > \frac{10}{3}$.
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