A note on the restriction theorem and geometry of hypersurfaces

Authors

  • Fabio Nicola

DOI:

https://doi.org/10.7146/math.scand.a-15068

Abstract

A necessary condition is established for the optimal $(L^p,L^2)$ restriction theorem to hold on a hypersurface $S$, in terms of its Gaussian curvature. For some classes of flat hypersurface we give sharp thresholds for the range of admissible exponents $p$, depending on the specific geometry.

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Published

2008-09-01

Issue

Vol. 103 No. 1 (2008)

Section

Articles

How to Cite

[1]
F. Nicola, “A note on the restriction theorem and geometry of hypersurfaces”, Math. Scand., vol. 103, no. 1, pp. 53–60, Sep. 2008, doi: 10.7146/math.scand.a-15068.