Wolff's inequality for hypersurfaces

• Autores: Malabika Pramanik, Izabella Laba
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 57, Fasc. Extra 1, 2006 (Ejemplar dedicado a: Proceedings of the 7th International Conference on Harmonic Analysis and Partial Differential Equations), págs. 293-326
• Idioma: español
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• Resumen

  • We extend Wol ¿s ¿local smoothing¿ inequality [19] to a wider class of not necessarily conical hypersurfaces of codimension 1. This class includes surfaces with nonvanishing curvature, as well as certain surfaces with more than one flat direction. An immediate consequence is the Lp-boundedness of the corresponding Fourier multiplier operators.