| 二重B-值随机Dirichlet级数的线性增长性 |
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| 引用本文： | 危黎黎,崔海波.二重B-值随机Dirichlet级数的线性增长性[J].数学杂志,2012,32(5):913-917. |
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| 作者姓名： | 危黎黎 崔海波 |
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| 作者单位： | 1. 中南财经政法大学统计与数学学院,湖北武汉,430073
2. 湖北大学数学与计算机科学学院,湖北武汉,430062 |
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| 摘 要： | 本文研究了二重B-值随机Dirichlet级数线性增长性的问题.利用二重B-值随机变量列{Xmn}在某阶矩一致有界条件下的性质和Paley-Zygmund不等式,并结合二重Dirichlet级数的成果,获得了在一定条件下,二重B-值随机Dirichlet级数a.s.必然与二重Dirichlet级数有相同的线性增长性,推广了二重Dirichlet级数的线性增长性.
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| 关 键 词： | 二重Dirichlet级数 二重B-值随机Dirichlet级数 整函数 增长级 |
THE LINEAR GROWTH OF THE DOUBLE B-VALUED RANDOM DIRICHLET SERIES |
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| WEI Li-li
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CUI Hai-bo.THE LINEAR GROWTH OF THE DOUBLE B-VALUED RANDOM DIRICHLET SERIES[J].Journal of Mathematics,2012,32(5):913-917. |
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| Authors: | WEI Li-li CUI Hai-bo |
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| Institution: | 1.Faculty of Statistics and Mathematics,Zhongnan University of Economics & Law,Wuhan 430073,China)(2.Faculty of Mathematics & Computer Science,Hubei Universuty,Wuhan 430062,China) |
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| Abstract: | In this paper,we study the linear growth of the double B-valued random Dirichlet series.Using the properties of a double sequence of B-valued random variable with some uniform bounded moments and Paley-Zygmund inequality,we obtain,under suitable conditions,the double B-valued random Dirichlet series has a.s.the same linear growth as the double Dirichlet series,which extend the linear growth of the double Dirichlet series. |
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| Keywords: | double Dirichlet series double B-valued random Dirichlet series the entire function the linear growth |
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