The Squeezing Function: Exact Computations, Optimal Estimates, and a New Application

Bharali, G and Borah, D and Gorai, S (2023) The Squeezing Function: Exact Computations, Optimal Estimates, and a New Application. In: Journal of Geometric Analysis, 33 (12).

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Abstract

We present a new application of the squeezing function sD , using which one may detect when a given bounded pseudoconvex domain D/�Cn , n� 2 , is not biholomorphic to any product domain. One of the ingredients used in establishing this result is also used to give an exact computation of the squeezing function (which is a constant) of any bounded symmetric domain. This extends a computation by Kubota to any Cartesian product of Cartan domains at least one of which is an exceptional domain. Our method circumvents any case-by-case analysis by rank and also provides optimal estimates for the squeezing functions of certain domains. Lastly, we identify a family of bounded domains that are holomorphic homogeneous regular. © 2023, Mathematica Josephina, Inc.

Item Type:	Journal Article
Publication:	Journal of Geometric Analysis
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer Nature.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	05 Dec 2023 09:06
Last Modified:	05 Dec 2023 09:06
URI:	https://eprints.iisc.ac.in/id/eprint/83349

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