Wolff's inequality for hypersurfaces
经典分析与常微分方程
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0407346,
title = {Wolff's inequality for hypersurfaces},
author = {Izabella Laba and Malabika Pramanik},
journal= {arXiv preprint arXiv:math/0407346},
year = {2007}
}
备注
35 pages; some background information corrected