On the degree of holomorphic mappings from an annulus into an annulus

We establish an estimate for the degree of a holomorphic mapping f : K 1 → K 2 (here, K 1 and K 2 are doubly-connected domains) in terms of the modulus of a family of curves in K 2. This estimate generalizes a result obtained by Kobayashi.

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Bibliographic Details
Date:2004
Main Authors: Nguyen, Doan Tuan, Pham, Viet Duc, Нгуєн, Доан Туан, Фам, В'єт Дік
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3828
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal