Improved curvature conditions on L2 x ⋯ x L2 → L2/m bounds for multilinear maximal averages

被引:0
|
作者
Cho, Chu-Hee [1 ]
Lee, Jin Bong [1 ]
Shuin, Kalachand [2 ]
机构
[1] Seoul Natl Univ, Res Inst Math, 1 Gwanak Ro, Seoul 08826, South Korea
[2] Indian Inst Sci, Dept Math, Bengaluru 560012, India
关键词
Multilinear maximal averages; Curvature conditions;
D O I
10.1016/j.jmaa.2024.129162
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we focus on L-2(R-d)x & ctdot;xL(2)(R-d)-> L-2/m(R-d) estimates for multilinear maximal averages over non-degenerate hypersurfaces. Our findings is new for m-linear averages with m >= 3, and represent a reproof of the recent result of T. Borges, B. Foster, and Y. Ou on the curvature conditions of the hypersurfaces required in establishing L-2(R-d)xL(2)(R-d)-> L-1(R-d) estimates of bilinear maximal functions.(c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数:15
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