从Zygmund型空间到α-Bloch空间的加权复合算子的紧性分析

摘要

令φ，u分别是复平面C上的单位开圆盘D中的解析自映射和解析函数。加权复合算子定义为(uCφ)( f )(z)=u(z) f (φ(z))，（ z∈D ，f∈H(D)），本文讨论了该加权复合算子从Zygmund型空间到α-Bloch空间的紧性。%Letφbe an analytic self-map and u be a fixed analytic function in the open unit disk D on the com⁃plex plane C .The weighted composition operator is defined by (uCφ)( f )(z)=u(z) f (φ(z)) ,( z∈D ,f∈H(D) ). This paper studies the compactness of the weighted composition operators from Zygmund type spaces to α- Bloch spaces .