| 三角级数属于Ba空间的充分必要条件 |
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| 引用本文： | 虞旦盛,周颂平.三角级数属于Ba空间的充分必要条件[J].数学物理学报(A辑),2008,28(6):1038-1045. |
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| 作者姓名： | 虞旦盛 周颂平 |
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| 作者单位： | [1]杭州师范大学数学系,杭州310018 [2]浙江理工大学数学研究所,杭州310018 |
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| 基金项目： | 西南石油学院国家重点实验实开放项目(PLN0613)资助 |
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| 摘 要： | 该文给出了正弦级数和余弦级数在系数满足NBV条件时属于Ba空间的充分必要条件,所得结论 为Ba空间中的首个此类结果,同时也是对Lp空间中已有结论的本质性推广.
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| 关 键 词： | 三角级数 NBV条件 Ba空间 充分必要条件 |
| 收稿时间： | 2006-01-08 |
| 修稿时间： | 2007-11-10 |
The Sufficient and Necessary Conditions for Trigonometric Series Belonging to Ba Spaces |
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| Yu Dansheng,Zhou Songping.The Sufficient and Necessary Conditions for Trigonometric Series Belonging to Ba Spaces[J].Acta Mathematica Scientia,2008,28(6):1038-1045. |
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| Authors: | Yu Dansheng Zhou Songping |
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| Institution: | (1.Department of Mathematics, Hangzhou Normal University,Hangzhou 310018; 2.Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018) |
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| Abstract: | The present paper gives a sufficient and necessary condition for sine series and cosine series, with their coefficients satisfying NBV condition, belonging to Ba spaces. This is the first result on Ba spaces and can be regarded as an essential generalization of that on Lp spaces. |
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| Keywords: | Trigonometric serieszz Monotonicityzz Ba spaceszz Suffcient and necessary conditionzz |
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