The multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces

被引：2
作者：
Cen, Xi
机构：
[1] Mianyang
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年 / 55卷 / 02期
关键词：
Multilinear square operator; Littlewood-Paley operator; Weighted Morrey space; Commutator; Weak-type L log L estimate; Multilinear Marcinkiewicz integral; BMO;
D O I：
10.1007/s13226-023-00406-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the boundedness of the multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces, then we give the boundedness and weak-type L log L estimates for the commutators of multilinear Littlewood-Paley g-functions and multilinear Marcinkiewicz integrals on weighted Morrey spaces in the form of corollaries.
引用
收藏
页码：749 / 775
页数：27
相关论文
共 30 条
  • [1] Grafakos L, 2014, GRAD TEXTS MATH, V250, DOI 10.1007/978-1-4939-1230-8
  • [2] Grafakos Loukas, 2014, CLASSICAL FOURIER AN, V249, DOI DOI 10.1007/978-1-4939-1194-3
  • [3] Han Xiao, 2023, arXiv
  • [4] On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces
    He, Sha
    Tao, Xiangxing
    [J]. JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [5] The boundedness of commutators of multilinear Marcinkiewicz integral
    He, Sha
    Liang, Yiyu
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195 (195)
  • [6] Estimates for Multilinear Commutators of Generalized Fractional Integral Operators on Weighted Morrey Spaces
    He, Sha
    Zheng, Taotao
    Tao, Xiangxing
    [J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [7] Vector-valued maximal multilinear Calderon-Zygmund operator with nonsmooth kernel on weighted Morrey space
    He, Suixin
    Zhou, Jiang
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2017, 8 (02) : 213 - 239
  • [8] On general multilinear square function with non-smooth kernels
    Hormozi, Mahdi
    Si, Zengyan
    Xue, Qingying
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2018, 149 : 1 - 22
  • [9] Hu Y., 2014, J FUNCT SPACE, V2014
  • [10] Multilinear fractional integral operators on generalized weighted Morrey spaces
    Hu, Yue
    Wang, Yueshan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
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