A∞ weight estimates for vector-valued commutators of multilinear fractional integral

被引:3
作者
Yu Xiao [1 ,2 ]
Chen Jie-cheng [3 ]
Zhang Yan-dan [4 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Shangrao Normal Univ, Dept Math, Shangrao 334001, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua 324001, Peoples R China
[4] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
vector-valued; commutator; multilinear; fractional integral; weighted; NORM INEQUALITIES; SINGULAR-INTEGRALS; SPACES; OPERATORS;
D O I
10.1007/s11766-013-3154-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the authors get the Coifman type weighted estimates and weak weighted LlogL estimates for vector-valued generalized commutators of multilinear fractional integral with omega a A (a). Furthermore, both the boundedness of vector-valued multilinear fractional integral and the weak weighted LlogL estimates for vector-valued multilinear fractional integral are also obtained.
引用
收藏
页码:335 / 357
页数:23
相关论文
共 28 条
  • [1] [Anonymous], 1985, Weighted Norm Inequalities and Related Topics
  • [2] A NOTE ON COMMUTATORS
    CHANILLO, S
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (01) : 7 - 16
  • [3] Weighted estimates for a class of multilinear fractional type operators
    Chen, Xi
    Xue, Qingying
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 362 (02) : 355 - 373
  • [4] FACTORIZATION THEOREMS FOR HARDY SPACES IN SEVERAL VARIABLES
    COIFMAN, RR
    ROCHBERG, R
    WEISS, G
    [J]. ANNALS OF MATHEMATICS, 1976, 103 (03) : 611 - 635
  • [5] Extrapolation from A∞ weights and applications
    Cruz-Uribe, D
    Martell, JM
    Pérez, C
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 213 (02) : 412 - 439
  • [6] Multilinear singular and fractional integrals
    Ding, Y
    Lu, SZ
    Yabuta, K
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (02) : 347 - 356
  • [7] Weighted norm inequalities for fractional integral operators with rough kernel
    Ding, Y
    Lu, SZ
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1998, 50 (01): : 29 - 39
  • [8] Weak estimates for commutators of fractional integral operators
    Ding, Y
    Lu, SZ
    Zhang, P
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 44 (07): : 877 - 888
  • [9] Fan D, 2006, HOKKAIDO MATH J, V35, P61
  • [10] Fan D, 2008, MATH INEQUAL APPL, V11, P127