数学季刊 ›› 2021, Vol. 36 ›› Issue (4): 405-414.doi: 10.13371/j.cnki.chin.q.j.m.2021.04.007

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关于双曲三角形间的拟共形映射

  

  1. School of Science, Beijing University of Posts and Telecommunications
  • 收稿日期:2021-06-24 出版日期:2021-12-30 发布日期:2021-12-30
  • 作者简介: ZHAO Lei (1997-), female, native of Shijiazhuang, Hebei, master candidate of Beijing University of Posts and Telecommunications, engages in complex analysis.
  • 基金资助:
     Partially Supported by NSFC (Grant No. 12071047); Fundamental Research Funds for the Central Universities (Grant No. 500421126).

On Quasiconformal Mappings Between Hyperbolic Triangles

  1. School of Science, Beijing University of Posts and Telecommunications
  • Received:2021-06-24 Online:2021-12-30 Published:2021-12-30
  • About author: ZHAO Lei (1997-), female, native of Shijiazhuang, Hebei, master candidate of Beijing University of Posts and Telecommunications, engages in complex analysis.
  • Supported by:
     Partially Supported by NSFC (Grant No. 12071047); Fundamental Research Funds for the Central Universities (Grant No. 500421126).

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摘要： Quasiconformal mappings between hyperbolic triangles are considered. We give an explicit estimate of the dilation of the quasiconformal mappings, which generalizes Bishop’s results.

关键词: Hyperbolic triangle, Quasiconformal mapping, Affine transformation

Abstract: Quasiconformal mappings between hyperbolic triangles are considered. We give an explicit estimate of the dilation of the quasiconformal mappings, which generalizes Bishop’s results.

Key words: Hyperbolic triangle, Quasiconformal mapping, Affine transformation

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