The optimal trilinear restriction estimate for a class of hypersurfaces with curvature

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• 作者：Ioan Bejenaru ^{ibejenaru@math.ucsd.edu}
• 关键词：primary ; 42B15 ; secondary ; 42B25
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：307
• 期：Complete
• 页码：1151-1183
• 全文大小：583 K
• 卷排序：307

文摘

In [4] nearly optimal L1L1 trilinear restriction estimates in Rn+1Rn+1 are established under transversality assumptions only. In this paper we show that the curvature improves the range of exponents, by establishing LpLp estimates, for any p>2(n+4)3(n+2) in the case of double-conic surfaces. The exponent 2(n+4)3(n+2) is shown to be the universal threshold for the trilinear estimate.