Wolff's inequality for hypersurfaces.
Laba, Izabella ; Pramanik, Malabika
Collectanea Mathematica, Tome 57 (2006), p. 293-326 / Harvested from Biblioteca Digital de Matemáticas
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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 Lp-boundedness of the corresponding Fourier multiplier operators.

Publié le : 2006-01-01
DMLE-ID : 4267 
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     title = {Wolff's inequality for hypersurfaces.},
     journal = {Collectanea Mathematica},
     volume = {57},
     year = {2006},
     pages = {293-326},
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     mrnumber = {MR2264215},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41779}
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Laba, Izabella; Pramanik, Malabika. Wolff's inequality for hypersurfaces.. Collectanea Mathematica, Tome 57 (2006) pp. 293-326. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41779/