| 关于MVBV条件下Fourier级数的L~1收敛性的注记(英文) |
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| 引用本文： | 周颂平. 关于MVBV条件下Fourier级数的L~1收敛性的注记(英文)[J]. 数学进展, 2012, 0(2): 173-176 |
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| 作者姓名： | 周颂平 |
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| 作者单位： | 浙江理工大学数学研究所 |
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| 摘 要： | 本注记给出了关于在Fourier级数L~1收敛中MVBV条件不可减弱的一个猜想的肯定回答。
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| 关 键 词： | Fourier级数 均值有界变差 L~1收敛 |
A Remark on L~1-convergence of Fourier Series Under MVBV Condition |
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| ZHOU Songping. A Remark on L~1-convergence of Fourier Series Under MVBV Condition[J]. Advances in Mathematics(China), 2012, 0(2): 173-176 |
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| Authors: | ZHOU Songping |
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| Affiliation: | ZHOU Songping (Institute of Mathematics,Zhejiang Sci-Tech University,Hangzhou,Zhejiang,310018,P.R.China) |
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| Abstract: | This note is to give a conjecture which claims that the MVBV condition is also the weakest condition one can have to replace the monotone condition in L~1 convergence case,an affirmative answer. |
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| Keywords: | Fourier series mean value bounded variation L~1 convergence |
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