Wolff's inequality for hypersurfaces

Details Wolff's inequality for hypersurfaces Wolff's inequality for hypersurfaces

2004-07-20

arxiv.org/abs/math/0407346v2

Mathematics

Classical Analysis and ODEs

35 pages; some background information corrected

Scientific paper

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.

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