Abstract
We study restriction estimates in ℝ3 for surfaces given as graphs of low regularity functions. We obtain a "universal" mixed-norm estimate for the extension operator f → ̂fμ in ℝ3. We also prove that this estimate holds for any Frostman measure supported on a compact set of Hausdorff dimension greater than two. The approach is geometric and is influenced by a connection with the Falconer distance problem. © 2010 Springer Science+Business Media, LLC.
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Iosevich, A., & Roudenko, S. (2010). A universal stein-tomas restriction estimate for measures in three dimensions. In Additive Number Theory: Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson (pp. 171–178). Springer New York. https://doi.org/10.1007/978-0-387-68361-4_12
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