摘要
我们首先回顾有关定义。设实值函数Φ(X)定义在[0,∞)上,若Φ是一个单调的连续的次可加函数,且满足条件:Φ(X)=0当且仅当X=0,则称Φ是一个模函数,设D表示复平面上的开单位圆盘,H(D)表示D上解析函数全体。对于一个给定的模函数Φ,Har-dy—Orlicz空间H(Φ)
W.Deeb,R.Khalil and M.Marzuq have studied some properties of
H(Φ),the Hardy-Orlicz spaces, They introduced the functions class N_p(0<P≤1) and dis-
cussed some properties of N_p. In the present short note we prove that N_p=N^+ for 0<P
≤1. We also give a condition for H(Φ)=H(ψ).
出处
《纯粹数学与应用数学》
CSCD
1990年第2期91-93,共3页
Pure and Applied Mathematics