Fourier decay of fractal measures on surfaces of co-dimension two in R5

被引：0
|
作者：
Cao, Zhenbin [1 ]
Miao, Changxing [2 ]
Wang, Zijian [3 ]
机构：
[1] Henan Acad Sci, Inst Math, Zhengzhou 450046, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[3] Zhongkai Univ Agr & Engn, Guangzhou 510225, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 08期
基金：
国家重点研发计划;
关键词：
Quadratic surface; Decoupling; Refined Strichartz estimate; Broad-narrow analysis; MAIN CONJECTURE; RESTRICTION; DECOUPLINGS; AVERAGES; PROOF; TRANSFORMS; OPERATORS; CURVES; BOUNDS;
D O I：
10.1016/j.jfa.2024.110378
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Fourier decay of fractal measures on the quadratic surfaces of high co-dimensions. Unlike the case of co-dimension 1, quadratic surfaces of high co-dimensions possess some special scaling structures and degenerate characteristics. We will adopt the strategy from Du and Zhang [21], combined with the broad-narrow analysis with different dimensions as divisions, to obtain a few lower bounds of Fourier decay of fractal measures on quadratic surfaces of co-dimension two in R5. (c) 2024 Elsevier Inc. All rights reserved.
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页数：49
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