论文标题

Hartogs域的Bergman内核与其基础之间的关系

Relationships Between the Bergman Kernels of Hartogs Domains and Their Base

论文作者

Boudreaux, Blake J.

论文摘要

我们探索了Hartogs域的Bergman内核与其基本域上加权的Bergman内核之间的关系。特别是,我们开发了Hartogs域的Bergman内核作为一系列涉及加权伯格曼内核的一系列,以及某些加权伯格曼内核的“转换”公式。提出了这种类型的其他关系。

We explore the relationship between the Bergman kernel of a Hartogs domain and weighted Bergman kernels over its base domain. In particular we develop a representation of the Bergman kernel of a Hartogs domain as a series involving weighted Bergman kernels over its base, as well as a "transformation" formula for some weighted Bergman kernels. Other relationships of this type are presented.

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