The Reduced Bergman Kernel and its Properties
Abstract
In this article, we study some properties of the n-th order weighted reduced Bergman kernels for planar domains, n≥ 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.
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