Weighted inequalities for multilinear commutators of some sublinear operators

被引:0
|
作者
Qiong C. [1 ]
Lanzhe L. [1 ]
机构
[1] College of Mathematics, Changsha University of Science and Technology
关键词
BMO; Littlewood-Paley operator; Marcinkiewicz operator; Multilinear commutator;
D O I
10.1007/s12215-009-0006-2
中图分类号
学科分类号
摘要
We establish sharp estimates for some multilinear commutators related to the Littlewood-Paley and Marcinkiewicz operators. As an application, we obtain the weighted norm inequalities and L log L type estimate for the multilinear commutators. © 2009 Springer-Verlag Italia.
引用
收藏
页码:51 / 63
页数:12
相关论文
共 50 条
  • [1] Weighted Inequalities for Multilinear Potential Operators and their Commutators
    Ana Bernardis
    Osvaldo Gorosito
    Gladis Pradolini
    [J]. Potential Analysis, 2011, 35 : 253 - 274
  • [2] Weighted Inequalities for Multilinear Potential Operators and their Commutators
    Bernardis, Ana
    Gorosito, Osvaldo
    Pradolini, Gladis
    [J]. POTENTIAL ANALYSIS, 2011, 35 (03) : 253 - 274
  • [3] WEIGHTED NORM INEQUALITIES FOR THE COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS
    Hu Guoen
    Zhu Yueping
    [J]. ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) : 749 - 764
  • [4] WEIGHTED NORM INEQUALITIES FOR THE COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS
    胡国恩
    朱月萍
    [J]. Acta Mathematica Scientia, 2011, 31 (03) : 749 - 764
  • [5] Some weighted inequalities for Hausdorff operators and commutators
    Hussain, Amjad
    Ajaib, Amna
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [6] Some weighted inequalities for Hausdorff operators and commutators
    Amjad Hussain
    Amna Ajaib
    [J]. Journal of Inequalities and Applications, 2018
  • [7] Weighted multilinear Hardy operators and commutators
    Fu, Zun Wei
    Gong, Shu Li
    Lu, Shan Zhen
    Yuan, Wen
    [J]. FORUM MATHEMATICUM, 2015, 27 (05) : 2825 - 2851
  • [8] New Weighted Norm Inequalities for Certain Classes of Multilinear Operators and their Iterated Commutators
    Guixia Pan
    Lin Tang
    [J]. Potential Analysis, 2015, 43 : 371 - 398
  • [9] New Weighted Norm Inequalities for Certain Classes of Multilinear Operators and their Iterated Commutators
    Pan, Guixia
    Tang, Lin
    [J]. POTENTIAL ANALYSIS, 2015, 43 (03) : 371 - 398
  • [10] Multilinear Commutators of Sublinear Operators on Triebel-Lizorkin Spaces
    Xie Ru-long
    Shu Li-sheng
    Zhang Qian-xiang
    Ji You-qing
    [J]. Communications in Mathematical Research, 2014, 30 (02) : 168 - 178