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(0<α≤1)条件时,Marcinkiewicz积分在加权弱Hardy空间WH1Ω(Rn)上是有界的结果.
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 WH1ω（Rn）was obtained.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第5期502-506,共5页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金资助项目(11041004)
山东省自然科学基金项目(ZR2010AM032)
