p -级数域重排特征系统的(C, α)}和 |
| |
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. |
| |
作者姓名: | 张传洲 张学英 |
| |
作者单位: | 武汉科技大学理学院,武汉,430065 |
| |
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.
|
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 |
| |
Institution: | College of Science, Wuhan University of Science and Technology, |Wuhan 430065 |
| |
Abstract: | Let Gp be the p-series field. G.Gát and K.Nagy8] 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.. |
| |
Keywords: | p-series field Kaczmarz rearrangement Hardy-Lorentz space |
本文献已被 万方数据 等数据库收录! |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
| 点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
|