Gehlawat, S and Jain, A and Sarkar, AD (2023) The reduced Bergman kernel and its properties. In: International Journal of Mathematics .
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Official URL: https://doi.org/10.1142/S0129167X23500155
Abstract
In this paper, we study some properties of the [removed]nth-order weighted reduced Bergman kernels for planar domains, [removed]n ≥ 1. Specifically, we look at Ramadanov type theorems, localization, and boundary behavior of the weighted reduced Bergman kernel and its higher-order counterparts. We also give a transformation formula for these kernels under biholomorphisms.
| Item Type: | Journal Article |
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| Publication: | International Journal of Mathematics |
| Publisher: | World Scientific |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | boundary behavior; localization; Ramadanov theorem; Reduced Bergman kernel; transformation formula |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 28 Mar 2023 09:23 |
| Last Modified: | 28 Mar 2023 09:23 |
| URI: | https://eprints.iisc.ac.in/id/eprint/81182 |
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