The Reduced Bergman Kernel and its Properties
Complex Variables
2023-09-13 v3
Abstract
In this article, we study some properties of the -th order weighted reduced Bergman kernels for planar domains, . 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.
Keywords
Cite
@article{arxiv.2209.04850,
title = {The Reduced Bergman Kernel and its Properties},
author = {Sahil Gehlawat and Aakanksha Jain and Amar Deep Sarkar},
journal= {arXiv preprint arXiv:2209.04850},
year = {2023}
}
Comments
18 pages