MULTIPLE WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF MULTILINEAR CALDERON-ZYGMUND AND POTENTIAL TYPE OPERATORS

被引:0
作者
Wang, Panwang [1 ]
Liu, Zongguang [1 ]
机构
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2018年 / 11卷 / 03期
关键词
Multilinear Calderon-Zygmund operator; potential type operator; commutator; A(infinity) weight;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the authors study the multiple weighted boundedness of commutators generated by multilinear Calderon-Zygmund and potential type singular integral operators and BMO function. Furthermore, the two weighted norm inequalities of Calderon-Zygmund and potential type singular integral operators are obtained with A(infinity) condition.
引用
收藏
页码:211 / 228
页数:18
相关论文
共 13 条
[1]  
Bennet C.., 1988, INTERPOLATION OPERAT
[2]   Weighted norm inequalities for multilinear operators and applications to multilinear Fourier multipliers [J].
Bui, The Anh ;
Duong, Xuan Thinh .
BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (01) :63-75
[3]  
Chaffee L, 2017, APPL NUMER HARMON AN, P193, DOI 10.1007/978-3-319-52742-0_11
[4]   Weighted estimates for a class of multilinear fractional type operators [J].
Chen, Xi ;
Xue, Qingying .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 362 (02) :355-373
[5]  
COIFMAN R. R., 1978, ASTERISQUE, V57
[6]   COMMUTATORS OF SINGULAR INTEGRALS AND BILINEAR SINGULAR INTEGRALS [J].
COIFMAN, RR ;
MEYER, Y .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 212 (OCT) :315-331
[7]  
Fefferman C, 1972, ACTA MATH-DJURSHOLM, V129, P137, DOI 10.1007/BF02392215
[8]   RESULTS ON WEIGHTED NORM INEQUALITIES FOR MULTIPLIERS [J].
KURTZ, DS ;
WHEEDEN, RL .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 255 (NOV) :343-362
[9]   New maximal functions and multiple weights for the multilinear Calderon-Zygmund theory [J].
Lerner, Andrei K. ;
Ombrosi, Sheldy ;
Perez, Carlos ;
Torres, Rodolfo H. ;
Trujillo-Gonzalez, Rodrigo .
ADVANCES IN MATHEMATICS, 2009, 220 (04) :1222-1264
[10]   Lack of natural weighted estimates for some singular integral operators [J].
Martell, JM ;
Pérez, C ;
Trujillo-González, R .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (01) :385-396