| Lorentz空间上单调函数的加权不等式 |
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| 引用本文： | 吴柏森.Lorentz空间上单调函数的加权不等式[J].长沙理工大学学报(自然科学版),2006,3(1):77-83. |
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| 作者姓名： | 吴柏森 |
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| 作者单位： | 长沙理工大学,数学与计算科学学院,湖南,长沙,410076 |
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| 摘 要： | 证明了单调函数在Lorentz空间上的加权不等式,作为应用,得到了某些积分算子的双权Lorentz范数不等式的特征刻划.
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| 关 键 词： | 加权不等式 Lorentz空间 Hardy算子 |
| 文章编号： | 1672-9331（2006）01-0077-07 |
| 收稿时间： | 2005-06-24 |
| 修稿时间： | 2005年6月24日 |
Weighted inequalities for monotone functions in Lorentz spaces |
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| WU Bo-sen.Weighted inequalities for monotone functions in Lorentz spaces[J].Journal of Changsha University of Science and Technology:Natural Science,2006,3(1):77-83. |
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| Authors: | WU Bo-sen |
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| Institution: | College of Mathematics and Computing Science, Chtmgsha University of Science and Technology, Changsha 410076, China |
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| Abstract: | The weighted inequalities for monotone functions in Lorentz spaces was proved.As application,the characterizations of two weights Lorentz norm inequalities for some integral operators were obtained. |
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| Keywords: | weighted inequality Lorentz space hardy operator |
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