A Note on the Boundedness of Iterated Commutators of Multilinear Operators

被引：2
作者：
Wang, Dinghuai [1 ]
机构：
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Anhui, Peoples R China
来源：
MATHEMATICAL NOTES | 2022年 / 112卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
BMO function; boundedness; commutator; Hardy-Littlewood maximal function; Lebesgue space; SPACES;
D O I：
10.1134/S0001434622070057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the symbol function belonging to BMO space is not a necessary condition for the boundedness of the iterated commutator acting on a product of Lebesgue spaces.
引用
收藏
页码：59 / 64
页数：6
相关论文
共 14 条
  • [1] Characterizations of bounded mean oscillation through commutators of bilinear singular integral operators
    Chaffee, Lucas
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 146 (06) : 1159 - 1166
  • [2] FACTORIZATION THEOREMS FOR HARDY SPACES IN SEVERAL VARIABLES
    COIFMAN, RR
    ROCHBERG, R
    WEISS, G
    [J]. ANNALS OF MATHEMATICS, 1976, 103 (03) : 611 - 635
  • [3] DEVORE RA, 1984, MEM AM MATH SOC, V47, P1
  • [4] Fefferman C, 1972, ACTA MATH-DJURSHOLM, V129, P137, DOI 10.1007/BF02392215
  • [5] JANSON S, 1983, LECT NOTES MATH, V992, P101
  • [6] New maximal functions and multiple weights for the multilinear Calderon-Zygmund theory
    Lerner, Andrei K.
    Ombrosi, Sheldy
    Perez, Carlos
    Torres, Rodolfo H.
    Trujillo-Gonzalez, Rodrigo
    [J]. ADVANCES IN MATHEMATICS, 2009, 220 (04) : 1222 - 1264
  • [7] Pérez C, 2003, CONTEMP MATH, V320, P323
  • [8] Sharp weighted estimates for multilinear commutators
    Pérez, C
    Trujillo-González, R
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2002, 65 : 672 - 692
  • [9] End-point estimates for iterated commutators of multilinear singular integrals
    Perez, Carlos
    Pradolini, Gladis
    Torres, Rodolfo H.
    Trujillo-Gonzalez, Rodrigo
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 : 26 - 42
  • [10] Tang L, 2008, P ROY SOC EDINB A, V138, P897
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