B-值随机级数的强可积性  

Strong integrability of the B-valued random series

作　　者：张颖[1] 周娟[1] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2010年第4期372-374,共3页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(201160132)资助

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.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.

关 键 词：强可积性 A.S.收敛 a.s.有界. 

分 类 号：O211.5[理学—概率论与数理统计]