Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergman kernel functions for specific weights and domains.

中文翻译：

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再现一些加权Bergman空间的核

在此，将伯格曼核理论发展到加权情况。获得了加权Bergman再生核的一般形式，通过它我们可以计算特定权重和域的具体Bergman核函数。