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

Authors

  • Doan Tuan Nguyen
  • Viet Duc Pham

Abstract

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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Published

25.08.2004

Issue

Vol. 56 No. 8 (2004)

Section

Short communications

How to Cite

Nguyen, Doan Tuan, and Viet Duc Pham. “On the Degree of Holomorphic Mappings from an Annulus into an Annulus”. Ukrains’kyi Matematychnyi Zhurnal, vol. 56, no. 8, Aug. 2004, pp. 1135–1138, https://umj.imath.kiev.ua/index.php/umj/article/view/3828.