| 一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性 |
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| 引用本文： | 陶双平,李巧妮.一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性[J].西北师范大学学报,2012(5):1-7. |
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| 作者姓名： | 陶双平 李巧妮 |
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| 作者单位： | 西北师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11161042;11071250) |
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| 摘 要： | 研究一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性.在关于核的一定假设条件下,通过函数分解技巧,得到奇异积分算子在齐次Morrey-Herz空间上是有界的.
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| 关 键 词： | 多线性算子 粗糙核 齐次Morrey-Herz空间 有界性 |
The boundedness of a class of multilinear singular integral operators with rough kernels on homogeneous Morrey-Herz spaces |
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| TAO Shuang-ping,LI Qiao-ni.The boundedness of a class of multilinear singular integral operators with rough kernels on homogeneous Morrey-Herz spaces[J].Journal of Northwest Normal University Natural Science (Bimonthly),2012(5):1-7. |
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| Authors: | TAO Shuang-ping LI Qiao-ni |
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| Institution: | (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | The aim of this paper is to study boundedness of a class of multilinear singular integral operators with rough kernels on the homogeneous Morrey-Herz spaces.Under some assumptions about the kernel,it is proved that the singular integral operator is bounded on the homogeneous Morrey-Herz spaces by using the divide skill of functions. |
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| Keywords: | multilinear operators rough kernel homogeneous Morrey-Herz spaces boundedness |
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