Abstract
Suppose dμ is affine surface measure on a convex radial surface Γ(x) = (x, γ(|x|)), a ≤ |x| < b, in \({\mathbb{R}^3}\) . Under appropriate smoothness and growth conditions on γ, we prove \({(L^{4/3}(\mathbb{R}^3), L^{4/3}(d\mu))}\) and \({(L^{4/3}(\mathbb{R}^3), L^2(d\mu))}\) Fourier restriction estimates for Γ.
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Shayya, B. Affine restriction for radial surfaces. Math. Z. 262, 41–55 (2009). https://doi.org/10.1007/s00209-008-0362-1
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DOI: https://doi.org/10.1007/s00209-008-0362-1