Weighted Estimates for Commutators of Multilinear Hausdorff Operators on Variable Exponent Morrey-Herz Type Spaces

被引:6
作者
Dao Van Duong [1 ]
Kiev Huu Dung [2 ]
Nguyen Minh Chuong [3 ]
机构
[1] Mientrung Univ Civil Engn, Sch Math, 24 Nguyen Du St,Ward 7, Thy Hoa City, Phu Yen Provinc, Vietnam
[2] Univ Transport & Commun, Sch Math, 3 Cau Giay St, Hanoi, Vietnam
[3] Vietnamese Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet Rd,Bldg A5, Hanoi, Vietnam
关键词
multilinear Hausdorff operator; Hardy-Cesaro operator; commutator; Lipschitz space; central BMO space; Morrey-Herz space; Ap weight; variable exponent; HARDY OPERATORS; FRACTIONAL INTEGRALS; SINGULAR-INTEGRALS; L-P; BOUNDEDNESS; LEBESGUE; BOUNDS;
D O I
10.21136/CMJ.2020.0566-18
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish the boundedness for the commutators of multilinear Hausdorff operators on the product of some weighted Morrey-Herz type spaces with variable exponent with their symbols belonging to both Lipschitz space and central BMO space. By these, we generalize and strengthen some previously known results.
引用
收藏
页码:833 / 865
页数:33
相关论文
共 32 条
[1]   Maximal, potential and singular type operators on Herz spaces with variable exponents [J].
Almeida, Alexandre ;
Drihem, Douadi .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) :781-795
[2]   Besov spaces with variable smoothness and integrability [J].
Almeida, Alexandre ;
Hasto, Peter .
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (05) :1628-1655
[3]   THE BOUNDEDNESS OF MULTIDIMENSIONAL HARDY OPERATORS IN WEIGHTED VARIABLE LEBESGUE SPACES [J].
Bandaliev, R. A. .
LITHUANIAN MATHEMATICAL JOURNAL, 2010, 50 (03) :249-259
[4]   Multivariate Hausdorff operators on the spaces Lp(Rn) [J].
Brown, G ;
Móricz, F .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 271 (02) :443-454
[5]   A NOTE ON COMMUTATORS [J].
CHANILLO, S .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (01) :7-16
[6]   Multilinear Hardy-CesA ro operator and commutator on the product of Morrey-Herz spaces [J].
Chuong, N. M. ;
Hong, N. T. ;
Hung, H. D. .
ANALYSIS MATHEMATICA, 2017, 43 (04) :547-565
[7]  
Chuong N. M., 2017, MULTILINEAR HAUSDORF
[8]  
Chuong N.M., 2018, PSEUDODIFFERENTIAL O
[9]   COMMUTATORS OF SINGULAR INTEGRALS AND BILINEAR SINGULAR INTEGRALS [J].
COIFMAN, RR ;
MEYER, Y .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 212 (OCT) :315-331
[10]   FACTORIZATION THEOREMS FOR HARDY SPACES IN SEVERAL VARIABLES [J].
COIFMAN, RR ;
ROCHBERG, R ;
WEISS, G .
ANNALS OF MATHEMATICS, 1976, 103 (03) :611-635