二重B-值随机Dirichlet级数收敛性  

On the Convergence of the Double B-valued Random Dirichlet Series

作　　者：危黎黎[1] 崔海波[2] 

机构地区：[1]中南财经政法大学统计与数学科学学院,武汉430073 [2]湖北大学数学与计算机科学学院,武汉430062

出　　处：《应用泛函分析学报》2012年第4期400-403,共4页Acta Analysis Functionalis Applicata

摘　　要：运用二重B-值随机变量列{X_(mn)}在某阶矩一致有界条件下的性质和引理2.1的不等式,结合二重Dirichlet级数的成果,证明了在一定条件下,二重B-值随机Dirichlet级数a.s.几乎必然与二重Dirichlet级数有相同的成对的相关收敛横坐标.Studied the properties of a double sequence of B-valued random variable with some uniform bounded moments and the inequality in lemma 1.By these properties and some results on double Dirichlet series the following results are obtained.Under suitable conditions,the double B-valued random Dirichlet series has a.s.the same associated abscissas of convergence as the double Dirichlet series.

关 键 词：二重Dirichlet级数 二重B-值随机Dirichlet级数 相关收敛横坐标 

分 类 号：O17[理学—数学] TP3[理学—基础数学]