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The reduced Bergman kernel and its properties

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


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
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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