Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators

被引：32
|
作者：
Chaffee, Lucas [1 ]
Torres, Rodolfo H. [1 ]
机构：
[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA
来源：
POTENTIAL ANALYSIS | 2015年 / 43卷 / 03期
关键词：
Bilinear operators; Compact operators; Singular integrals; Fractional integrals; Calderon-Zygmund theory; Commutators; Muckenhoupt weights; Vector valued weights; Weighted Lebesgue spaces; MULTILINEAR SINGULAR-INTEGRALS; SPACES;
D O I：
10.1007/s11118-015-9481-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is characterized in terms of appropriate mean oscillation properties of their symbols. The compactness of the commutators when acting on product of weighted Lebesgue spaces is also studied.
引用
收藏
页码：481 / 494
页数：14
相关论文
共 50 条
  • [21] ON WEIGHTED COMPACTNESS OF COMMUTATORS OF BILINEAR FRACTIONAL MAXIMAL OPERATOR
    He, Qianjun
    Zhang, Juan
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (03) : 495 - 517
  • [22] Commutators with fractional integral operators
    Holmes, Irina
    Rahm, Robert
    Spencer, Scott
    STUDIA MATHEMATICA, 2016, 233 (03) : 279 - 291
  • [23] Compactness of the commutators of homogeneous singular integral operators
    GUO XiaoLi
    HU GuoEn
    Science China(Mathematics), 2015, 58 (11) : 2347 - 2362
  • [24] Compactness of the commutators of homogeneous singular integral operators
    XiaoLi Guo
    GuoEn Hu
    Science China Mathematics, 2015, 58 : 2347 - 2362
  • [25] ON THE COMPACTNESS OF COMMUTATORS FOR ROUGH MARCINKIEWICZ INTEGRAL OPERATORS
    Mao, Suzhen
    Sawano, Yoshihiro
    Wu, Huoxiong
    TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (06): : 1777 - 1793
  • [26] Compactness of the commutators of homogeneous singular integral operators
    Guo XiaoLi
    Hu GuoEn
    SCIENCE CHINA-MATHEMATICS, 2015, 58 (11) : 2347 - 2362
  • [27] BILINEAR DECOMPOSITIONS AND COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
    Luong Dang Ky
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (06) : 2931 - 2958
  • [28] Necessary and Sufficient Conditions for Boundedness of Commutators of Bilinear Fractional Integral Operators on Morrey Spaces
    Suixin HE
    Jiang ZHOU
    Journal of Mathematical Research with Applications, 2016, 36 (06) : 711 - 717
  • [29] Compactness Criteria for Fractional Integral Operators
    Vakhtang Kokilashvili
    Mieczysław Mastyło
    Alexander Meskhi
    Fractional Calculus and Applied Analysis, 2019, 22 : 1269 - 1283
  • [30] COMPACTNESS CRITERIA FOR FRACTIONAL INTEGRAL OPERATORS
    Kokilashvili, Vakhtang
    Mastylo, Mieczyslaw
    Meskhi, Alexander
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (05) : 1269 - 1283
12345