The Boundedness of Maximal Operators and Singular Integrals via Fourier Transform Estimates

被引：0
作者：
Hong Hai LIU
机构：
[1] SchoolofMathematicsandInformationScience,He'nanPolytechnicUniversity
来源：
Acta Mathematica Sinica | 2012年 / 28卷 / 11期
关键词：
D O I：
暂无
中图分类号：
O172.2 [积分学];
学科分类号：
摘要：
In this paper, the author studies the mapping properties for some general maximal operators and singular integrals on certain function spaces via Fourier transform estimates. Also, some concrete maximal operators and singular integrals are studied as applications.
引用
收藏
页码：2227 / 2242
页数：16
相关论文
共 5 条
  • [1] Rough singular integrals supported on submanifolds
    Chen, Yanping
    Ding, Yong
    Liu, Honghai
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 368 (02) : 677 - 691
  • [2] Rough singular integrals on Triebel–Lizorkin space and Besov space.[J].Yanping Chen;Yong Ding.Journal of Mathematical Analysis and Applications.2008, 2
  • [3] MAXIMAL AND SINGULAR INTEGRAL-OPERATORS VIA FOURIER-TRANSFORM ESTIMATES
    DUOANDIKOETXEA, J
    DEFRANCIA, JLR
    [J]. INVENTIONES MATHEMATICAE, 1986, 84 (03) : 541 - 561
  • [4] PROBLEMS IN HARMONIC-ANALYSIS RELATED TO CURVATURE
    STEIN, EM
    WAINGER, S
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 84 (06) : 1239 - 1295
  • [5] Book Review: Littlewood-Paley and multiplier theory.[J].R. R. Coifman;Guido Weiss.bull.1978, 2
1