广东工业大学学报 ›› 1999, Vol. 16 ›› Issue (2): 15-21.

• 综合研究 • 上一篇    下一篇

一类Hardy型空间H~p(w)

  

  1. 广东工业大学数理系;
  • 出版日期:1999-07-02 发布日期:1999-07-02

Some Hardy-Style Spaces H p(w )

  1. (Dept.of Mathematics and Physics,GDUT,Guangzhou 510090,China)
  • Online:1999-07-02 Published:1999-07-02

摘要: 给出了一类原子空间Hp(w)及其对偶BMO(w),在(广义)C-Z算子的作用下是(Hp(w),Lp(w))有界的(0<p≤1),w是合适的权函数.

关键词: Calderon-Zygmund算子; 原子; 权函数;

[1] 韩永生.  一类Hardy型空间H0p,q,8(Rn)[J]. 中国科学(A辑 数学 物理学 天文学 技术科学). 1987(08)

[2] 彭立中.  广义Calderón Zygmund算子及其加权模不等式[J]. 数学进展. 1985(02)

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[2] Latter R H.A decomposition of Hp(Rn) in term of atoms. Studia Mathematica . 1977

[3] Coifman R,Weiss G.Extensions of Hardy spaces and their use in analysis. Bulletin of the American Mathematical Society . 1977

[4] Fefferman C.Stein E M Some maximal inequalities. American Journal of Mathematics . 1971
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