数学物理学报 ›› 2011, Vol. 31 ›› Issue (4): 1055-1062.

• 论文 • 上一篇    下一篇

分数次 Hardy算子多线性交换子的有界性

武江龙   

  1. 牡丹江师范学院数学系 黑龙江牡丹江 157012
  • 收稿日期:2009-08-01 修回日期:2010-11-01 出版日期:2011-08-25 发布日期:2011-08-25
  • 基金资助:

    黑龙江省自然科学基金(A200913)和牡丹江师范学院青年学术骨干项目(G201001)资助

Boundedness of Multilinear Commutators of Fractional Hardy Operators

 WU Jiang-Long   

  1. Department of Mathematics, Mudanjiang Normal University, Heilongjiang Mudanjiang 157012
  • Received:2009-08-01 Revised:2010-11-01 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    黑龙江省自然科学基金(A200913)和牡丹江师范学院青年学术骨干项目(G201001)资助

摘要:

该文主要在Lebesgue空间, 齐次Herz空间Kqα, p(Rn)和齐次~Morrey-Herz 空间Kp, qα, λ(Rn) 上建立了由n维分数次Hardy 算子和BMO函数生成的多线性交换子He, b的有界性.

关键词: Hardy 算子, Morrey-Herz 空间, 交换子, BMO 函数

Abstract:

In this paper, the  boundedness of the multilinear commutator He, b generated by an n-dimensional fractional Hardy operator and   BMO function is established on the Lebesgue space, the homogenous Herz space Kqα, p(Rn) and the homogenous Morrey-Herz
space MKp, qα, λ(Rn).

Key words: Hardy operator, Morrey-Herz space, Commutator, BMO function

中图分类号: 

  • 42B20