Sharpness Results and Knapp’s Homogeneity Argument

Author:

Iosevich Alex,Lu Guozhen

Abstract

AbstractWe prove that the L2 restriction theorem, and , boundedness of the surface averages imply certain geometric restrictions on the underlying hypersurface. We deduce that these bounds imply that a certain number of principal curvatures do not vanish.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Fourier restriction theorem based on convolution powers;Proceedings of the American Mathematical Society;2014-07-21

2. AN AFFINE FOURIER RESTRICTION THEOREM FOR CONICAL SURFACES;Mathematika;2013-12-13

3. A uniform Fourier restriction theorem for surfaces in ℝ^{};Proceedings of the American Mathematical Society;2011-06-29

4. A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions;Additive Number Theory;2010

5. Affine restriction for radial surfaces;Mathematische Zeitschrift;2008-04-29

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