| 齐次Morrey-Herz空间上的一些基本不等式和插值定理 |
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| 引用本文： | 陶双平,武江龙,孙小春. 齐次Morrey-Herz空间上的一些基本不等式和插值定理[J]. 西北师范大学学报(自然科学版), 2006, 42(4): 5-10 |
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| 作者姓名： | 陶双平 武江龙 孙小春 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州730070 |
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| 摘 要： | 在齐次Morrey-Herz空间和弱齐次Morrey-Herz空间上建立了Holder，Minkowski，Young型不等式和4个插值定理，且这些基本不等式和插值定理在相应齐次Herz空间及弱齐次Herz空间上也同样成立．
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| 关 键 词： | Lebesgue空间 齐次Herz空间 齐次Morrey-Herz空间 不等式 插值定理 |
| 文章编号： | 1001-988X（2006）04-0005-06 |
| 收稿时间： | 2005-12-07 |
| 修稿时间： | 2005-12-072006-05-08 |
Some basic inequalities and interpolation theorems on homogeneous Morrey-Herz spaces |
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| TAO Shuang-ping,WU Jiang-long,SUN Xiao-chun. Some basic inequalities and interpolation theorems on homogeneous Morrey-Herz spaces[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2006, 42(4): 5-10 |
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| Authors: | TAO Shuang-ping WU Jiang-long SUN Xiao-chun |
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| Affiliation: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | The Holder, Minkowski, Young-type inequalities and 4 interpolation theorems are establis on the homogeneous Morrey-Herz spaces and weak homogeneous Morrey-Herz spaces, which are generalizations of the corresponding results on Lebesgue spaces. The same results are hold on corresponding homogeneous Herz spaces and weak homogeneous Herz spaces. |
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| Keywords: | Lebesgue space homogeneous Herz space homogeneous Morrey-Herz space inequality interpolation theorem |
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