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B-值随机级数的强可积性
引用本文:张颖,周娟.B-值随机级数的强可积性[J].湖北大学学报(自然科学版),2010,32(4):372-374.
作者姓名:张颖  周娟
作者单位:湖北大学数学与计算机科学学院,湖北武汉430062
摘    要:在已有文献中研究了eλ‖v‖的强可积性,其中V=sum εnun,un from 1 to ∞是固定B-值向量,ε1,…,εn,…是Rademacher序列,在此基础上一类随机级数sum εnun from 1 to ∞的性质被研究并得出了类似的结果.

关 键 词:强可积性  a.s.收敛  a.s.有界.

Strong integrability of the B-valued random series
ZHANG Ying,ZHOU Juan.Strong integrability of the B-valued random series[J].Journal of Hubei University(Natural Science Edition),2010,32(4):372-374.
Authors:ZHANG Ying  ZHOU Juan
Institution:(Shool of Mathematics and Computer Science,Hubei Univesity,Wuhan 430062,China)
Abstract:Strong integrability of exp(λ‖V‖)was studied where V=sum εnun,un from 1 to ∞ was fixed B-valued and ξ1,…,ξn,… was Rademacher sequence in existing document.On the base,the properties of a kind of random seres sum εnun from 1 to ∞ were studied and similar results were obtained.
Keywords:strong integrability  a  s  convergence  a  s  boundedness
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