Mathematische Zeitschrift

, Volume 262, Issue 1, pp 41–55 | Cite as

Affine restriction for radial surfaces

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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.

Mathematics Subject Classification (2000)

Primary 42B10 Secondary 52A15 
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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsAmerican University of BeirutBeirutLebanon

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