| p -级数域重排特征系统的(C, α)}和 |
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| 引用本文： | 张传洲,张学英. p -级数域重排特征系统的(C, α)}和[J]. 数学物理学报(A辑), 2009, 29(6): 1623-1633 |
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| 作者姓名： | 张传洲 张学英 |
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| 作者单位： | 武汉科技大学理学院,武汉,430065 |
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| 摘 要： | 令Gp 为p级数域.在文献[9]中, G.Gát 和 K.Nagy 已经证明p级数域的重排特征系统的(C,1)极大算子是强 (q, q)型(1 αn f 几乎处处收敛于f.
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| 关 键 词： | p级数域 Kaczmarz 重排法则 Hardy-Lorentz 空间 |
| 收稿时间： | 2008-06-05 |
| 修稿时间： | 2009-10-23 |
(C, α)-summability of Character System of p}-series Field in Kaczmarz Rearrangement |
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| Affiliation: | College of Science, Wuhan University of Science and Technology, |Wuhan 430065 |
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| Abstract: | Let Gp be the p-series field. G.Gát and K.Nagy[8] have shown that the maximal operator of the (C,1) means of the character system of the p-series filed in the Kaczmarz rearrangement is of type (q,q) for all 1~α: Hp → Lp is bounded for all 1/(α+1) < p ≤ 1. By means of interpolation and duality argument, this theorem can be extended to Hardy-Lorentz spaces. As a consequence, the $(C,alpha)$ means of an integrable function f converge to f a.e.. |
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| Keywords: | p-series field Kaczmarz rearrangement Hardy-Lorentz space |
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