| Banach空间值鞅变换的有界性及其应用 |
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| 引用本文： | 于林,金雁鸣.Banach空间值鞅变换的有界性及其应用[J].应用数学,2006,19(2):407-413. |
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| 作者姓名： | 于林 金雁鸣 |
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| 作者单位： | 三峡大学理学院,湖北,宜昌,443002 |
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| 基金项目： | 湖北省教育厅科研项目;三峡大学校科研和教改项目 |
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| 摘 要： | 本文给出关于Banach空间值鞅变换算子有界性的一种新的处理方法,得到一系列带有广泛性的结果,并应用鞅变换算子的有界性刻画了Banach空间的一致光滑性和一致凸性,使得许多已有文献中的结论成为本文的特例.
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| 关 键 词： | Banach空间值鞅 鞅变换 一致光滑性 一致凸性 |
| 文章编号： | 1001-9847(2006)02-0407-07 |
| 收稿时间： | 2005-07-12 |
| 修稿时间： | 2005年7月12日 |
Bounderness of Banach-space-valued Martingale Transform and its Applications |
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| YU Lin,JIN Yan-ming.Bounderness of Banach-space-valued Martingale Transform and its Applications[J].Mathematica Applicata,2006,19(2):407-413. |
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| Authors: | YU Lin JIN Yan-ming |
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| Institution: | Science College, China Three Gorges University, Hubei Yichang 443002, China |
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| Abstract: | In this paper,a new method to deal with the problems of the boundedness for Banach-space-valued martingale transform operators is presented,a series of general results which include many other results in some literature as special cases are proved,and as an application the p uniform smoothness and q uniform convexity of Banach spaces are characterized by the boundedness of martingale transform operators. |
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| Keywords: | Banach-space-valued martingale space Martingale transform Uniform smoothness Uniform convexity |
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