| 次线性算子在一类广义Morrey空间上的有界性及其应用 |
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| 引用本文： | 陈晓莉,陈杰诚.次线性算子在一类广义Morrey空间上的有界性及其应用[J].数学年刊A辑(中文版),2011,32(6):705-720. |
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| 作者姓名： | 陈晓莉 陈杰诚 |
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| 作者单位： | 江西师范大学数学与信息科学学院;浙江大学数学系;浙江师范大学数学系; |
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| 基金项目： | 国家自然科学基金(No10871173,No10961015,No10961016); 江西省教育厅基金(NoGJJ10397)资助的项目 |
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| 摘 要： | 证明了一组次线性算子及其交换子,如具有粗糙核的Calderón-Zygmund算子、Ricci-Stein振荡奇异积分、Marcinkiewicz积分、分数次积分和振荡分数次积分及其交换子,在一类广义Morrey空间上的有界性.作为应用得到了非散度型椭圆方程在上述Morrey空间的内部正则性.
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| 关 键 词： | 次线性算子 交换子 广义Morrey空间 椭圆方程 |
The Boundedness of Sublinear Operators on Generalized Morrey Spaces and Its Application |
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| CHEN Xiaoli and CHEN Jiecheng.The Boundedness of Sublinear Operators on Generalized Morrey Spaces and Its Application[J].Chinese Annals of Mathematics,2011,32(6):705-720. |
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| Authors: | CHEN Xiaoli and CHEN Jiecheng |
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| Institution: | CHEN Xiaoli~1 CHEN Jiecheng~2 1 College of Mathematics and Information Sciences,Jiangxi Normal University,Nanchang 330022,China,Department of Mathematics,Zhejiang University,Hangzhou 310027,China. 2 Department of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang,China. |
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| Abstract: | The boundendness on some generalized Morrey spaces is established for some class of
sublinear operators and their commutators, such as Calder\'{o}n-zygmund operator
with rough kernels, Ricci-Stein oscillatory singular integral, Marcinkiewicz
integrals, fractional integrals and oscillatory fractional integrals and
their commutators. As an application, an interior regularity for non-divergence
elliptic equation is also obtained. |
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| Keywords: | Sublinear operator Commutator Generalized Morrey spaces Elliptic equations |
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