Boundedness of multilinear operators on generalized Morrey spaces

被引:0
|
作者
YU Xiao [1 ]
TAO Xiang-xing [2 ]
机构
[1] Department of Mathematics, Shangrao Normal University
[2] Department of Mathematics, Zhejiang University of Science and Technology
基金
中国国家自然科学基金;
关键词
multilinear singular integral; multilinear Riesz potential; generalized Morrey space; multilinear maximal function;
D O I
暂无
中图分类号
O177 [泛函分析];
学科分类号
070104 ;
摘要
In this paper, the authors prove the boundedness of the multilinear maximal functions, multilinear singular integrals and multilinear Riesz potential on the product generalized Morrey spaces Mp1,ω1(Rn) ×···× Mpm,ω1(Rn) respectivelyThe main theorems of this paper extend some known results.
引用
收藏
页码:127 / 138
页数:12
相关论文
共 50 条
  • [1] Boundedness of multilinear operators on generalized Morrey spaces
    Yu Xiao
    Tao Xiang-xing
    [J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2014, 29 (02): : 127 - 138
  • [2] Boundedness of multilinear operators on generalized Morrey spaces
    Xiao Yu
    Xiang-xing Tao
    [J]. Applied Mathematics-A Journal of Chinese Universities, 2014, 29 : 127 - 138
  • [3] Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces
    Ali Akbulut
    Vugar H Hamzayev
    Zaman V Safarov
    [J]. Journal of Inequalities and Applications, 2015
  • [4] Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces
    Akbulut, Ali
    Hamzayev, Vugar H
    Safarov, Zaman V
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [5] Boundedness for Multilinear Singular Integral Operators on Morrey Spaces
    Liu, Lanzhe
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2010, 33 (01) : 93 - 103
  • [6] ON THE BOUNDEDNESS OF MULTILINEAR OPERATORS ON WEIGHTED HERZ-MORREY SPACES
    Tao, Xiangxing
    Zhang, Huihui
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (04): : 1527 - 1543
  • [7] Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces
    Jianglong Wu
    [J]. Ukrainian Mathematical Journal, 2009, 61 : 1684 - 1693
  • [8] BOUNDEDNESS OF THE MULTILINEAR FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON MORREY SPACES
    Guliyev, Emin V.
    Hasanov, Amil A.
    Safarov, Zaman V.
    [J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2015, 41 (01): : 44 - 55
  • [9] Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces
    Vagif S. Guliyev
    Seymur S. Aliyev
    Turhan Karaman
    Parviz S. Shukurov
    [J]. Integral Equations and Operator Theory, 2011, 71
  • [10] Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces
    Guliyev, Vagif S.
    Aliyev, Seymur S.
    Karaman, Turhan
    Shukurov, Parviz S.
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (03) : 327 - 355