| n维环群T~n上的H~p函数的临界阶Bochner—Riesz平均算子的有界性 |
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| 引用本文： | 姚祖喜，郑学安.n维环群T~n上的H~p函数的临界阶Bochner—Riesz平均算子的有界性[J].安徽大学学报(自然科学版),1993(3). |
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| 作者姓名： | 姚祖喜，郑学安 |
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| 作者单位： | 贵州民族学院，安徽大学数学系 |
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| 摘 要： | 投f∈H~p(T~n)(0
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| 关 键 词： | Bochner—Riesz平均算子 弱H~P空间 H~p空间 |
On the Boundedness of the Operators of Bochner—Riesz Means at Critical Index |
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| You Zuxi Zheng Xuean.On the Boundedness of the Operators of Bochner—Riesz Means at Critical Index[J].Journal of Anhui University(Natural Sciences),1993(3). |
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| Authors: | You Zuxi Zheng Xuean |
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| Institution: | Department of Mathematics |
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| Abstract: | For f∈H~p (T~n), the Bochner-Riesz means of f at critical index are denoted by f, where δ= n/p-(n+1)/2, then obtain the following result::f→f is of type (H~p, H (p, ∞)), moreover where C is independent of f and R, H (p, ∞; T~n) are weak-H~P spaces on T~n. |
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| Keywords: | H~P spaces weak-H~P spaces Bochner-Riesz means |
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