A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS

被引：3
|
作者：
Wen, Yongming [1 ,2 ]
Wu, Huoxiong [2 ]
Xue, Qingying [3 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[3] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 04期
关键词：
Multilinear pseudo-differential operator; commutators; sparse operators; weighted BMO; C-p weights; WEIGHTED NORM INEQUALITIES; HIGHER-ORDER COMMUTATORS; SMOOTH SYMBOLS; BOUNDEDNESS; THEOREM;
D O I：
10.4134/BKMS.b190532
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol sigma belonging to the Hormander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the C-p estimates for the corresponding multilinear pseudo-differential operators are also obtained.
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页码：851 / 864
页数：14
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