论文标题
减少的伯格曼内核及其特性
The Reduced Bergman Kernel and its Properties
论文作者
论文摘要
在本文中,我们研究了$ n $ th订单加权减少伯格曼核的一些属性,用于平面域,$ n \ geq 1 $。具体而言,我们查看斋月型定理,加权降低的伯格曼内核及其高阶对应物的定位和边界行为。我们还为这些核在生物形态下提供了转换公式。
In this article, we study some properties of the $n$-th order weighted reduced Bergman kernels for planar domains, $n\geq 1$. Specifically, we look at Ramadanov type theorems, localization, and boundary behaviour of the weighted reduced Bergman kernel and its higher-order counterparts. We also give a transformation formula for these kernels under biholomorphisms.