摘要
本文考虑的函数空间类L_α~B(或H_α~B)是L_p空间的推广,且包含重要的Hardy—Orlicz空间和Bergman—Orlicz空间。我们给出B(或BMOA)的一些等价定义,它们表明B(或BMOA)与特殊的L_α~B(或H_α~B)类之间的某些关系。
Ne consider a class of function spaces of L^(orH^).This class of function spaces is a generalization of the L_p spaces and includes some important spaces such as Hardy-Orlicz space and Bergman-Orlicz space.we give out some equivalent def- initions of B(or BMOA)which show that there exist some relations between B(or BMOA)and a special class of L^(or H^).
出处
《晓庄学院自然科学学报》
CAS
1989年第4期283-290,共8页
Journal of Natural Science of Hunan Normal University
关键词
函数空间
赋范空间
范数
对偶空间
function space
normed spaces
norm/L^B space
Bergman-Orlicz space
dual space
Dirichlet space
Bloch space
