Local continuous extension of proper holomorphic maps: Low-regularity and infinite-type boundaries

Banik, A (2024) Local continuous extension of proper holomorphic maps: Low-regularity and infinite-type boundaries. In: Journal of Mathematical Analysis and Applications, 537 (2).

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Abstract

We prove a couple of results on local continuous extension of proper holomorphic maps F:D�Ω, D,Ω�Cn, making local assumptions on �D and �Ω. The first result allows us to have much lower regularity, for the patches of �D,�Ω that are relevant, than in earlier results. The second result (and a result closely related to it) is in the spirit of a result by Forstneri��Rosay. However, our assumptions allow �Ω to contain boundary points of infinite type. © 2024 Elsevier Inc.

Item Type:	Journal Article
Publication:	Journal of Mathematical Analysis and Applications
Publisher:	Academic Press Inc.
Additional Information:	The copyright for this article belongs to authors.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	08 Jul 2024 06:02
Last Modified:	08 Jul 2024 06:02
URI:	http://eprints.iisc.ac.in/id/eprint/84731

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