Bergman型空间的Cesàro算子

Cesàro Operator between Bergman-type Spaces in C^n

设g1,g2为正规函数,对所有的0<p.q<∞,我们得到了Bergma型空间的加权Cesàro算子T_ψ:A_(g1)~p→A_(g2)~q为有界算子和紧算子的充要条件。

Let g1,g2 are normal functions. For all 0 〈 p,q 〈 ∞, we obtained the sufficient and necessary conditions of the extended Cesaro operatorTψ：Ag1^p→Ag2^q being bounded or compact on Bergman type spacers.