期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

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

The Boundedness of Maximal Operators and Singular Integrals via Fourier Transform Estimates
原文传递
导出
摘要 In this paper, the author studies the mapping properties for some general maximal op- erators and singular integrals on certain function spaces via Fourier transform estimates. Also, some concrete maximal operators and singular integrals are studied as applications. In this paper, the author studies the mapping properties for some general maximal op- erators and singular integrals on certain function spaces via Fourier transform estimates. Also, some concrete maximal operators and singular integrals are studied as applications.
作者 Hong Hai LIU
机构地区 School of Mathematics and Information Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第11期2227-2242,共16页 数学学报（英文版）
基金 Supported by Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20090003110018)
关键词 Maximal operators singular integrals Triebel-Lizorkin spaces vector-valued inequality Maximal operators, singular integrals, Triebel-Lizorkin spaces, vector-valued inequality
分类号 O172.2 [理学—基础数学] TP391.41 [自动化与计算机技术—计算机应用技术]
  • 相关文献

参考文献13

  • 1Frazier, M., Jawerth, B., Han, Y., et al.: The T1 theorem for Triebel-Lizorkin spaces. In: Lecture Notes in Math, Springer-Verlag, Berlin, 1384, 1989, 168-181.
  • 2Chen, Y., Ding, Y.: Rough singular integrals on Triebel-Lizorkin space and Besov space. J. Math. Anal.appl,347,483-501(2008).
  • 3Chen, Y., Ding, Y., Liu, H.: Rough singular integrals supported on submanifolds. J. Math. Anal. Appl., 368, 667 691 (2010).
  • 4Stein, E. M.: Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals, Prince- ton Univ. Press~ Princeton, 1993.
  • 5Lu, S., Xia, X.: Boundedness of singular integral operators on Triebel-Lizorkin spaces via Fourier transform estimates. PhD Thesis, Beijing Normal University, Beijing, 2007.
  • 6Duoandikoetxea, J., Rudio de Francia, J. L.: Maximal and singular integral operators via Fourier transform estimates. Invent. Math., 84, 541-561 (1986).
  • 7Grafakos, L.: Classical and Modern Fourier Analysis, Prentice-Hall, Upper Saddle River, 2003.
  • 8Cwikel, M., Janson, S.: Interpolation of analytic families of operators. Studia Math., 79, 61-71 (1984).
  • 9Frazier, M., Jawerth, B.: A discrete transform and decompositions of distribution spaces. J. Func. Anal., 93, 34-170 (1990).
  • 10Stein, E. M., Wainger, S.: Problems in harmonic analysis related to curvature. Bull. Amer. Math. Soc., 84, 1239-1295 (1978).
Acta Mathematica Sinica,English Series
2012年 第11期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部