A note on the restriction theorem and geometry of hypersurfaces
DOI:
https://doi.org/10.7146/math.scand.a-15068Abstract
A necessary condition is established for the optimal (Lp,L2) 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.Downloads
Published
2008-09-01
How to Cite
Nicola, F. (2008). A note on the restriction theorem and geometry of hypersurfaces. MATHEMATICA SCANDINAVICA, 103(1), 53–60. https://doi.org/10.7146/math.scand.a-15068
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