C^n中全纯函数空间上乘子特征的一种刻划

A kind of characterization to multiplier characters on holomorphic function spaces of C^n

在Cn中单位球上根据p,q的不同范围给出了Bloch型空间βp和βq之间函数乘子的一种新的刻划,并刻划了Lipschitz空间之间以及Lipschitz空间到Bloch空间的函数乘子,拓广了Bloch空间的乘子理论.

In the paper,by the range of p and q,a kind of new characterization to the function multipliers from Bloch type spaces β~p to β~q on the unit ball of C^n is given.And the function multipliers between Lipschitz spaces or from Lipschitz space to Bloch space are characterized.These results generalize the multiplier theory on Bloch space.