hp Estimates for multilinear pseudo-differential operators with flag symbols

被引：1
|
作者：
Qiao, Jing [1 ]
Zhang, Lu [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Stat, Xian, Peoples R China
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 197卷
基金：
中国国家自然科学基金;
关键词：
Pseudo-differential operators; Flag symbols; Multilinear; Local Hardy spaces; GLOBAL-SOLUTIONS; PARAPRODUCTS; BOUNDEDNESS;
D O I：
10.1016/j.bulsci.2024.103522
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the h(p1)x & ctdot;xh(pN)-> L-p (0<pi <=infinity for i=1,2,& mldr;,N) estimate for N-linear pseudo-differential operators, where the symbols are given by the product of two standard symbols in multilinear H & ouml;rmander class N-S-1,delta(0). Such product-type symbols are motivated by the flag Fourier multipliers studied by Muscalu [35], [36], and we consider its multilinear analogue in pseudo-differential setting. Our arguments are also inspired by Miyachi, Tomita [34] and Chen, Huang, Lu in [6].
引用
收藏
页数：47
相关论文
共 50 条
12345