单位圆上H^∞,Dp,M（Dp）空间的包含关系

The In clusive Relation Among H~∞、D_p、M(D_p) Spaces on Unit Circle

就单位圆△上 ,给出了三空间 H∞ ,Dp,M(Dp)的包含关系 :( ) p >1时M(Dp) =Dp H∞ ;( ) p≤ 0时 M(Dp) =H∞ Dp;( ) 0 <p≤ 1时 M(Dp) <Dp,M(Dp) H∞ ,但 Dp 与 H∞ 互不包含 .

The following results are obtained in the paper (Ⅰ)M(D p)=D pH ∞ for p＞1(Ⅱ)M(D p)=H ∞(D p) for p≤ 0 (Ⅲ)M (D p)D p,M(D p)H ∞ and D pH ∞,H ∞D p for 0＜p ≤1