| 伴随Herz空间的Hardy空间上的向量值Calderón-Zygmund算子(英文) |
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| 引用本文： | 龙顺潮,王键,邓继勤.伴随Herz空间的Hardy空间上的向量值Calderón-Zygmund算子(英文)[J].数学进展,1999(4). |
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| 作者姓名： | 龙顺潮 王键 邓继勤 |
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| 作者单位： | 湘潭大学数学系!中国湖南湘潭，411105 |
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| 摘 要： | 本文证明了一类具有向量值核的Calderon－Zygmund算子是Herz型Hard，空间HKp到向量值Herz空间KE，p有界的，应用这一结果，得到了粗糙核Calderon－Zygmund算子，极大型Calderon－Zygmund算子，极大算子等是HKp到Kp有界的．
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| 关 键 词： | Caldern－Zygmund奇异积分算子 向量值算子 极大算子 Herz空间 Hardy空间 |
Vector Valued Calderon-Zygmund Operators on Hardy Spaces Associated with Herz Spaces |
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| Long Shunchao,Wang Jian,Deng Jiqin.Vector Valued Calderon-Zygmund Operators on Hardy Spaces Associated with Herz Spaces[J].Advances in Mathematics,1999(4). |
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| Authors: | Long Shunchao Wang Jian Deng Jiqin |
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| Abstract: | In this paper I it is proved that the Calderon-Zygmund operators of vector valued kernels are bounded from Hardy spaces HKP associated with Herz spaces to vector valued Herz spaces KE,P. Applications to Calderon-Zygmund operators with rough kernels, Calderon-Zygmund maximal operators, approximate identies and maximal operators are given. |
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| Keywords: | Calderon-Zygmund singular integral maximal operator vector valued operator Herz space Hardy space |
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