| 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,2011,32(6):705~720 |
| 次线性算子在一类广义Morrey空间上的有界性及其应用 |
| The Boundedness of Sublinear Operators on Generalized Morrey Spaces and Its Application |
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| DOI： |
| 中文关键词: 次线性算子 交换子 广义Morrey空间 椭圆方程 |
| 英文关键词:Sublinear operator Commutator Generalized Morrey spaces Elliptic equations |
| 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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| 中文摘要: |
| 证明了一组次线性算子及其交换子, 如具有粗糙核的Calder\'on-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. |
| 英文摘要: |
| 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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