论文标题
加权伯格曼空间的复制核的代表
A representation for the reproducing kernel of a weighted Bergman space
论文作者
论文摘要
对于单位磁盘中的重量函数，这是Blaschke因素的有限产物的模量，我们根据核的值及其衍生物在原点上给出了相应加权伯格曼空间的再现内核的规范表示。这产生了与有限零集对应的伯格曼空间的承包零除数的公式。
For a weight function in the unit disk which is the modulus of a finite product of powers of Blaschke factors, we give a canonical representation for the reproducing kernel of the corresponding weighted Bergman space in terms of the values of the kernel and its derivatives at the origin. This yields a formula for the contractive zero divisor of a Bergman space corresponding to a finite zero set.
