3 years ago

Restriction estimates for hyperboloids in higher dimensions via bilinear estimates. (arXiv:2002.09001v2 [math.CA] UPDATED)

Alex Barron
Let be a -dimensonal hyperbolic paraboloid in and let be the Fourier extension operator associated to with supported in . We prove that for all whenever , where is the minimum between the number of positive and negative principal curvatures of . Bilinear restriction estimates for proved by S. Lee and Vargas play an important role in our argument.

Publisher URL: http://arxiv.org/abs/2002.09001

DOI: arXiv:2002.09001v2

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