| 关于赋Luxemburg范数广义Orlicz序列空间的(J)非方点 |
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| 引用本文： | 石忠锐,张博. 关于赋Luxemburg范数广义Orlicz序列空间的(J)非方点[J]. 数学杂志, 2014, 34(3): 406-416 |
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| 作者姓名： | 石忠锐 张博 |
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| 作者单位： | 上海大学数学系; |
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| 基金项目： | Supported by National Natural Science Foundation of China(11271245);Discipline Project at the Corresponding Level of Shanaghai(A.13-0101-12-005) |
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| 摘 要： | 本文研究了赋Luxemburg范数广义Orlicz序列空间的(J)非方点.通过分析、综合经典Orlicz空间与广义Orlicz空间的结构,给出了用生成函数表达该性质的充分必要条件.该结果不仅推广了经典空间的结果,也是十分好用的.
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| 关 键 词： | 广义Orlicz序列空间 Luxemburg范数 (J)非方点 |
| 收稿时间： | 2012-04-06 |
| 修稿时间： | 2012-06-20 |
THE NONSQUARE POINT OF GENERALIZEDORLICZ SEQUENCE SPACESWITH LUXEMBURG NORM |
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| SHI Zhong-rui and ZHANG Bo. THE NONSQUARE POINT OF GENERALIZEDORLICZ SEQUENCE SPACESWITH LUXEMBURG NORM[J]. Journal of Mathematics, 2014, 34(3): 406-416 |
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| Authors: | SHI Zhong-rui and ZHANG Bo |
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| Affiliation: | Department of Mathematics, Shanghai University, Shanghai 200444, China and Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | In this article, we investigate the (J)nonsquare point of generalized Orlicz sequence spaces. Analysing and combining the structures of the classical Orlicz spaces and the generalized ones, we get sufficient and necessary conditions of this property by the generating function, which not only generalizes the results of the classical Orlicz sequence spaces but also is easy to use. |
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| Keywords: | generalized Orlicz sequence spaces Luxemburg norm (J)nonsquare point |
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