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J4 ›› 2013, Vol. 48 ›› Issue (2): 67-71.

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变量核的 Marcinkiewicz 高阶交换子在Hardy空间的有界性

闫彦宗,邵旭馗,王素萍   

  1. 陇东学院数学与统计学院, 甘肃 庆阳 745000
  • 收稿日期:2012-03-29 出版日期:2013-02-20 发布日期:2013-03-04
  • 作者简介:闫彦宗(1971- ),男,副教授,主要从事应用数学的教学与研究. Email: shwangsp@163.com
  • 基金资助:

    国家自然科学基金资助项目(11161402);陇东学院青年科技创新基金资助项目(XYZK1109)

Boundedness of Marcinkiewicz integral higher commutators with variable kernels on Hardy spaces

YAN Yan-zong, SHAO Xu-kui, WANG Su-ping   

  1. School of Mathematics and Statistics, Longdong University, Qingyang 745000, Gansu, China
  • Received:2012-03-29 Online:2013-02-20 Published:2013-03-04

摘要:

 证明了带变量核的Marcinkiewicz积分算子和局部可积有限函数列

关键词: Marcinkiewicz 积分; 交换子; Hardy 空间; 变量核

Abstract:

The boundedness results on Hardy spaces were established for a class of generalized higher commutators  μ

Key words: Marcinkiewicz integral operator; commutators; Hardy spaces; variable kernels

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