Sharp Function Estimates for Bilinear Pseudo-Differential Operators

被引：0
|
作者：
Wang, Guangqing [1 ]
Li, Jinhui [1 ]
机构：
[1] Fuyang Normal Univ, Sch Math & Stat, Fuyang 236041, Anhui, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 06期
关键词：
Bilinear pseudo-differential operators; Sharp maximal operator; WEIGHTED NORM INEQUALITIES; HORMANDER CLASSES; TRIEBEL-LIZORKIN; SYMBOLS; BOUNDEDNESS;
D O I：
10.1007/s41980-022-00722-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let 0 < rho < 1 and T-a be a bilinear pseudo-differential operator defined by the symbol a epsilon BS rho,rho-n(1- rho) .It is shown that the operator T-a obeys the following pointwise estimate M (#) (Ta( f, g))(x) <= CMp f (x) M(q)g(x) for all x epsilon R-n if 2 < p, q < infinity and 1/p + 1/q = 1/2. Here M-# denotes the FeffermanStein sharp operator and M-p stands for the generalized Hardy-Littlewood maximal operator.
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页码：3795 / 3807
页数：13
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