单位球上小Bloch型空间之间复合算子

Composition Operators Between Little Bloch Type Spaces on the Unit Ball of C^n

设φ是Cn中单位球B到自身的全纯映射,讨论了单位球B上小Bloch型空间β0p与β0q之间的复合算子Cφ.对所有的0<p,q<∞,通过全纯函数φ的特征给出了Cφ:β0p→β0q为有界算子的充要条件.

Suppose φ is the self mapping on unit ball B of C^n, the composition operator Cφ between little Bloch spaces β0^p and β0^q on the unit ball B have been studied. Through the characteres of the function φ, the necessary and sufficient conditions are given for the composition operator Cφ：β0^p→β0^q to be bounded for all 0 〈 p,q 〈 ∞.