| 齐次Morrey-Herz空间上广义Riesz变换 |
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| 引用本文： | 杨明华,许明,杨晓转. 齐次Morrey-Herz空间上广义Riesz变换[J]. 纯粹数学与应用数学, 2012, 0(2): 247-255 |
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| 作者姓名： | 杨明华 许明 杨晓转 |
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| 作者单位： | 暨南大学数学系 |
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| 基金项目： | 国家自然科学基金(10771221);暨南大学青年自然科学基金(51208036 |
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| 摘 要： | 主要研究与二阶散度型椭圆算子L相伴的Riesz变换▽L-1/2"及其与BMO(Rn)函数生成的交换子,采用对函数进行环形分解的技术和对算子转化为相应的截断算子的方法,得出它们从MKp1,qα,λ(Rn)到MKp2,qα,λ(Rn)是有界的,从而推广了以前学者的结论.
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| 关 键 词： | 椭圆算子 交换子 齐次Morrey-Herz空间 Riesz变换 BMO(Rn) |
Boundedness of generalized Riesz transform and its commutator on the homogeneous Morrey-Herz spaces |
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| Yang Minghua, Xu Ming, Yang Xiaozhuan. Boundedness of generalized Riesz transform and its commutator on the homogeneous Morrey-Herz spaces[J]. Pure and Applied Mathematics, 2012, 0(2): 247-255 |
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| Authors: | Yang Minghua Xu Ming Yang Xiaozhuan |
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| Affiliation: | (Department of Mathematics, Ji nan University, Guangzhou 510632, China) |
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| Abstract: | In this paper, we study the generalized Riesz transform ▽L-1/2 associated with divergence form elliptic operator and its commutator [b, ▽L-1/2] generated by generalized Riesz transform and BMO(Rn) functions. By the methods of studying ring decomposition of function and thier corresponding truncated operators,their boundedness of the results form space MKp1,qα,λ(Rn) to space MKp2,qα,λ(Rn) were established. The well-known results gotten by before scholars are extended. |
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| Keywords: | elliptic operator commutator homogeneous Morrey-Herz Riesz transform BMO(Rn) |
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