α-Bloch空间循环元的注记

A note on cyclic vectors in the α-Bloch Spaces

证明了当0<α<1时,(1)βα空间的循环元都是外函数;(2)存在βα空间上的外函数不是循环元.这与1β空间是不同的.

When 0 〈 a 〈 1, it is shown that ： （ 1 ） every cyclic vector in βα must be an outer function ; 2） there exists an outer function of βα which is not a cyclic vector. This state that βα and β1 are different.