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arXiv · 2209.04850

The Reduced Bergman Kernel and its Properties

Sahil Gehlawat·Aakanksha Jain·Amar Deep Sarkar
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Abstract

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.

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Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar. 2022-09-11. The Reduced Bergman Kernel and its Properties. https://doi.org/10.1142/s0129167x23500155

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