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.
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页码：319 / 344
页数：26
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