| Banach空间值鞅不等式与弱大数定律 |
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| 引用本文： | 甘师信.Banach空间值鞅不等式与弱大数定律[J].数学杂志,1994,14(3):387-395. |
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| 作者姓名： | 甘师信 |
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| 作者单位： | 武汉大学 |
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| 基金项目： | 国家自然科学基金，国家教委博士学科点专项基金 |
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| 摘 要： | 本文证明了Ｂａｎａｃｈ空间值鞅的一些不等式，讨论了Ｂａｎａｃｈ空间的凸性及光滑性与某些鞅不等的式的联系，给出了Ｈｉｌｂｅｒｔ空间的一个鞅不等式刻划，同时还讨论了一致Ｐ光滑空间中鞅的弱大数定律，本文的结论推广与改进了很多熟知的定理。
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| 关 键 词： | 鞅不等式 弱大数定律 巴拿赫空间 |
INEQUALITIES AND WEAK LAW OF LARGE NUMBERS FOR BANACH SPACE VALUED MARTINGALES |
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| Gan Shixin.INEQUALITIES AND WEAK LAW OF LARGE NUMBERS FOR BANACH SPACE VALUED MARTINGALES[J].Journal of Mathematics,1994,14(3):387-395. |
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| Authors: | Gan Shixin |
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| Institution: | Wuhan University |
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| Abstract: | In this paper we prove some Banach space valued martjngale Inequalitiesand study tbe relationship between these inequalities and the geometry of a realBanach space B(as manifested in its p-smoothness or q-convexity).In the otherdirection a characterization of Hilbert spaces is give in terms of a Banachspace valued martingale inequality and the weak law of large numbers for ma-rtjngales with values in p-uniform smooth spaces is discussed |
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| Keywords: | anach space martingale inequality q-convexity p-smoothness Hilbert space weak law of large numbers |
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