COMPACTNESS FOR HIGHER ORDER COMMUTATORS OF OSCILLATORY SINGULAR INTEGRAL OPERATORS

被引:13
|
作者
Liu, Heping [1 ]
Tang, Lin [1 ]
机构
[1] Peking Univ, Sch Math & Sci, LMAM, Beijing 100871, Peoples R China
关键词
Compactness; commutators; oscillatory singular integral operators; WEIGHTED NORM INEQUALITIES;
D O I
10.1142/S0129167X09005698
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the authors study the compactness for higher order commutators of oscillatory singular integral operators with rough kernels satisfying L(q)-Dini conditions.
引用
收藏
页码:1137 / 1146
页数:10
相关论文
共 50 条
  • [1] Compactness of the commutators of homogeneous singular integral operators
    GUO XiaoLi
    HU GuoEn
    Science China(Mathematics), 2015, 58 (11) : 2347 - 2362
  • [2] Compactness of the commutators of homogeneous singular integral operators
    XiaoLi Guo
    GuoEn Hu
    Science China Mathematics, 2015, 58 : 2347 - 2362
  • [3] Compactness of the commutators of homogeneous singular integral operators
    Guo XiaoLi
    Hu GuoEn
    SCIENCE CHINA-MATHEMATICS, 2015, 58 (11) : 2347 - 2362
  • [4] HIGHER-ORDER COMMUTATORS OF SINGULAR INTEGRAL-OPERATORS
    JANSON, S
    PEETRE, J
    LECTURE NOTES IN MATHEMATICS, 1984, 1070 : 125 - 142
  • [5] CHARACTERIZATION OF COMPACTNESS OF COMMUTATORS OF BILINEAR SINGULAR INTEGRAL OPERATORS
    Chaffee, Lucas
    Chen, Peng
    Han, Yanchang
    Torres, Rodolfo H.
    Ward, Lesley A.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (09) : 3943 - 3953
  • [6] Compactness for the commutators of singular integral operators with rough variable kernels
    Chen, Jiecheng
    Chen, Yanping
    Hu, Guoen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 431 (01) : 597 - 621
  • [7] Compactness of commutators arising in the Fredholm theory of singular integral operators with shifts
    Karlovich, A
    Karlovich, Y
    FACTORIZATION, SINGULAR OPERATORS AND RELATED PROBLEMS, PROCEEDINGS, 2003, : 111 - 129
  • [8] Compactness for the commutators of multilinear singular integral operators with non-smooth kernels
    Bu Rui
    Chen Jie-cheng
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2019, 34 (01) : 55 - 75
  • [9] Compactness for the commutators of multilinear singular integral operators with non-smooth kernels
    Rui Bu
    Jie-cheng Chen
    Applied Mathematics-A Journal of Chinese Universities, 2019, 34 : 55 - 75
  • [10] On the commutators of singular integral operators
    Hu, G
    ACTA MATHEMATICA SCIENTIA, 2005, 25 (03) : 545 - 554