Wolff's inequality for hypersurfaces

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We extend Wolff's "local smoothing" inequality 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 L^p boundedness of the corresponding Fourier multiplier operators.
35 pages; some background information corrected

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Classical Analysis and ODEs, 42B08, 42B15

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http://salesiana.dossiersoluciones.com/handle/123456789/71948

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407346
 http://arxiv.org/abs/math/0407346

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arXiv