向量值多复变随机幂级数  

VECTOR-VALUED RANDOM POWER SERIES IN SEVERAL COMPLEX VARIABLES

作　　者：李光芹[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005

出　　处：《山东师范大学学报（自然科学版）》2002年第3期16-18,共3页Journal of Shandong Normal University(Natural Science)

摘　　要：引入了向量值多复变随机幂级数的定义 ,研究了它的收敛性质 ,它是Salem Zygmund定理的推广 .给出了向量值多复变随机幂级数属于Hardy空间和Lp 空间的充分条件 .We introduce the definition of vector valued random power series in several complex variables,and study its convergence.It is the extension of Salem Zygmund′s theory.At last we give the sufficient condition of vector valued random power series in several complex variables which belong to Hardy spaces and L p spaces.

关 键 词：向量值多复变随机幂级数 P型空间 Kahane不等式 收敛性质 Salem-Iygmund定理 HARDY空间 L^P空间 

分 类 号：O211.6[理学—概率论与数理统计] O173.1[理学—数学]