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一类与Lipschitz函数相关的极大交换子的有界性
BOUNDEDNESS OF A CLASS OF MAXIMAL COMMUTATORS ASSOCIATED WITH LIPSCHITZ FUNCTIONS ON NON-HOMOGENEOUS SPACES
【摘要】 建立了一类与Calderón-Zygmund算子和Lipschitz函数相关的极大交换子在非齐型空间上的Lebesgue空间中的有界性以及某些端点估计.
【Abstract】 For a class of maximal commutators which are the variants of the usual maximal Calderón-Zygmund commutators associated with Calderón-Zygmund operators and Lipschitz functions,their boundedness in Lebesgue spaces is established and some endpoint estimates are obtained.
【关键词】 Calderón-Zygmund算子;
Lipschitz函数;
极大交换子;
Lebesgue空间;
RBMO(μ)函数;
非齐型空间;
【Key words】 Calderón-Zygmund operators; Lipschitz functions; maximal commutators; Lebesgue spaces; RBMO(μ) functions; non-homogeneous spaces;
【Key words】 Calderón-Zygmund operators; Lipschitz functions; maximal commutators; Lebesgue spaces; RBMO(μ) functions; non-homogeneous spaces;
【基金】 国家自然科学基金资助项目(10271015);教育部博士点基金资助项目(20020027004)
- 【文献出处】 北京师范大学学报(自然科学版) ,Journal of Beijing Normal University(Natural Science) , 编辑部邮箱 ,2006年01期
- 【分类号】O177.6
- 【下载频次】82