A note on the restriction theorem and geometry of hypersurfaces
- Autores: Fabio Nicola
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 103, Nº 1, 2008, págs. 53-60
- Idioma: inglés
- DOI: 10.7146/math.scand.a-15068
- Enlaces
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Resumen
A necessary condition is established for the optimal (Lp,L2) restriction theorem to hold on 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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