赵凯, 郝春燕, 王磊. Marcinkiewicz积分在加权弱Hardy空间的有界性[J]. 云南大学学报(自然科学版), 2011, 33(5): 502-506.
引用本文: 赵凯, 郝春燕, 王磊. Marcinkiewicz积分在加权弱Hardy空间的有界性[J]. 云南大学学报(自然科学版), 2011, 33(5): 502-506.
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ZHAO Kai, HAO Chun-yan, WANG Lei. Boundedness of Marcinkewicz integral on weighted weak Hardy spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(5): 502-506.
Citation: ZHAO Kai, HAO Chun-yan, WANG Lei. Boundedness of Marcinkewicz integral on weighted weak Hardy spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(5): 502-506.
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Marcinkiewicz积分在加权弱Hardy空间的有界性

Boundedness of Marcinkewicz integral on weighted weak Hardy spaces

    摘要
  • 摘要: 介绍了加权弱Hardy空间的相关概念,在其原子分解的基础上,研究了Marcinkiewicz积分在弱Hardy空间的加权有界性,借助于权函数的性质及不等式估计,得到了Ω满足Lipα(0α≤1)条件时,Marcinkiewicz积分在加权弱Hardy空间WHΩ1(Rn)上是有界的结果.

     

    Abstract: The weighted weak Hardy spaces were introduced.Based on the atomic decompositions of the weighted weak Hardy spaces,the boundedness of Marcinkiewicz integral on them was discussed.Using the properties of the weighted functions and estimated of inequalities,the boundedness of Marcinkiewicz integral with Ω in Lipα(0α≤1) functions on weighted weak Hardy spaces WHω1(Rn) was obtained.

     

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