Uniqueness Results for Holomorphic Mappings on the Disc

被引：0
|
作者：
Min Ru
Richard Walden
机构：
[1] University of Houston,Department of Mathematics
来源：
Acta Mathematica Vietnamica | 2020年 / 45卷
关键词：
Holomorphic mapping; Riemann surfaces; Nevanlinna theory; 32H30; 30D35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper derives several unicity results for a class of holomorphic mappings from the disc into compact Riemann surfaces as well as into the complex projective space ℙn(ℂ). This is done by using the Nevanlinna theory for holomorphic maps where the source is a disc developed by Ru-Sibony (to appear).
引用
收藏
页码：71 / 81
页数：10
相关论文
共 50 条
  • [21] Rigidity results for holomorphic mappings on the unit disk
    Elin, Mark
    Levenshtein, Marina
    Reich, Simeon
    Shoikhet, David
    COMPLEX AND HARMONIC ANALYSIS, 2007, : 93 - +
  • [22] The Structure of the Semigroup of Proper Holomorphic Mappings of a Planar Domain to the Unit Disc
    Steven R. Bell
    Faisal Kaleem
    Computational Methods and Function Theory, 2008, 8 (1) : 225 - 242
  • [23] On the Uniqueness Results and Value Distribution of Meromorphic Mappings
    Ullah, Rahman
    Li, Xiao-Min
    Faizullah, Faiz
    Yi, Hong-Xun
    Khan, Riaz Ahmad
    MATHEMATICS, 2017, 5 (03):
  • [24] SOME RESULTS ON THE UNIQUENESS THEOREM OF MEROMORPHIC MAPPINGS
    Yan, Qiming
    Chen, Zhihua
    HOUSTON JOURNAL OF MATHEMATICS, 2009, 35 (01): : 233 - 246
  • [25] Uniqueness Results for Extremal Holomorphic Functions in Product Domains
    Peter Ebenfelt
    Lihua Huang
    Computational Methods and Function Theory, 2015, 15 : 1 - 8
  • [26] Uniqueness results for algebraic and holomorphic curves into Pn(C)
    Ru, Min
    Ugur, Gul
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (09)
  • [27] Uniqueness Results for Extremal Holomorphic Functions in Product Domains
    Ebenfelt, Peter
    Huang, Lihua
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2015, 15 (01) : 1 - 8
  • [28] APPROXIMATION AND ACCUMULATION RESULTS OF HOLOMORPHIC MAPPINGS WITH DENSE IMAGE
    Di Salvo, Giovanni D.
    MATHEMATICA SCANDINAVICA, 2023, 129 (02) : 273 - 283
  • [29] Several results for holomorphic mappings from Bn into BN
    Huang, XJ
    Ji, SY
    Xu, DK
    GEOMETRIC ANALYSIS OF PDE AND SEVERAL COMPLEX VARIABLES: DEDICATED TO FRANCOIS TREVES, 2005, 368 : 267 - 292
  • [30] HOLOMORPHIC MAPPINGS - SURVEY OF SOME RESULTS AND DISCUSSION OF OPEN PROBLEMS
    GRIFFITHS, PA
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 78 (03) : 374 - +
12345