关于Marcinkiewicz积分高阶交换子在弱Hardy空间中的有界性On boundedness of the high order commutators of Marcinkiewicz integrals on weak Hardy spaces of atom type
张松艳;周根娇;陶祥兴;
摘要(Abstract)：
设μ_Ω是带非光滑核Ω的Marcinkiewicz积分算子,m是正整数,μ_(Ω,b)m是算子μ_Ω与BMO函数b产生的m阶交换子.利用原子分解和Littlewood-Paley技术,该文建立了高阶交换子μ_(Ω,b)m是算子μ_Ω与BMO函数b产生的m阶交换子.利用原子分解和Littlewood-Paley技术,该文建立了高阶交换子μ_(Ω,b)m在一类原子型弱Hardy空间W H_(b,m)m在一类原子型弱Hardy空间W H_(b,m)p(0
关键词(KeyWords)：
Marcinkiewicz积分;高阶交换子;原子型弱Hardy空间
基金项目(Foundation):
国家自然科学基金(10771110,10471069);;
宁波市自然科学基金(2009A610084)
作者(Authors):
张松艳;周根娇;陶祥兴;
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