一个新的外插定理

New Extrapolation Theorem

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摘要文章建立次线性算子的关于一般权函数的一个外插定理,推广了Cruz-Uribe,SFO和P啨rez等人的有关结果。在证明过程中,利用广义Hlder不等式共轭性讨论建立的加权不等式自身也是有意义的。 This paper establishes an extrapolation theorem for sublinear operators with general weights, which generalizes the result of Cruz-Uribe, SFO and Perez. In the proof, by generalized Holder Inequality and standard duality argument, some weighted norm inequalities are obtained.

作者王维

机构地区信息工程大学信息工程学院

出处《信息工程大学学报》 2010年第3期361-363,377,共4页 Journal of Information Engineering University

基金国家自然科学资助基金资助项目(10671210)

关键词外插定理权函数加权不等式 extrapolation theorem weight function weighted norm inequality

分类号 O174.2 [理学—基础数学]

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信息工程大学学报

2010年第3期

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一个新的外插定理

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