超曲面的Wolff不等式
Wolff's inequality for hypersurfaces
摘要：
我们将Wolff的“局部光滑”不等式推广到更广泛的一类余维为1的不一定是圆锥超曲面。这类曲面包括具有非零曲率的曲面，以及某些具有多个平坦方向的曲面。一个直接的结果是相应的傅立叶乘子算子的L^p有界性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
