C^n中单位球上μ-Bloch空间之间的加权复合算子

Weighted Composition Operators Between μ-Bloch Spaces on the Unit Ball of C^n

设μ和ν是[0,1)上两个正规函数,该文给出了C^n(n>1)中单位球上Bloch型空间β_μ到β_ν之加权复合算子T_(ψ,(?))为有界算子和紧算子的充要条件。

Let μ and v be two normal functions on [0, 1）. In this paper, the necessary and sufficient conditions are given for the weighted composition operator Tψ,ψ, to be bounded （or compact） from Bloch type spaces βμ to βv on the unit ball B of Cn （n 〉 1）.