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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.