Decoupling for certain quadratic surfaces of low co-dimensions

被引：5

作者：

Guo, Shaoming ^{[1
]}

Zorin-Kranich, Pavel ^{[2
]}

机构：

[1] Univ Wisconsin Madison, Dept Math, Van Vleck Hall,480 Lincoln Dr, Madison, WI 53706 USA

[2] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2020年 / 102卷 / 01期

关键词：

42B25 (primary); 11L15; 26D05 (secondary); BOUNDS; CURVES; PROOF;

D O I：

10.1112/jlms.12321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove sharp lpLp decoupling inequalities for two quadratic forms in four variables. We also recover several previous results (Bourgain and Demeter, J. Funct. Anal. 270 (2016) 1299-1318; Bourgain and Demeter, J. Anal. Math. 133 (2017) 79-311; Demeter, Guo and Shi, Rev. Mat. Iberoam 35 (2019) 423-460; Oh, Math. Z. 290 (2018) 389-419) in a unified way.

引用

页码：319 / 344

页数：26

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