Bergman空间A^p（ψ）中函数之零点

Zeros of Functions in Bergman Spaces A￣P

设Ｄ是Ｃ中的单位圆盘及为［０，１）上的正规函数。对于０＜Ｐ＜∞，这样的函数用于定义一个带权为￣ｐ（｜ｚ｜）／（１－｜ｚ｜￣２）的Ｂｅｒｇｍａｎ空间Ａ￣ｐ．本文刻画了Ａ￣ｐ中函数之零点集的结构．作为应用，又给出了Ａ￣ｐ中函数序列插值的条件。

Let D be the unik dist in C and a normal function on [0,1].Such a function is used to define a Bergman spaco A￣P on D with weight for 0<p<∞. The constructions of zero sets of functions in A￣P are characterized.Moreover as an application,some conditions for sequence interpolations by functions in A￣P are given as well.