On Quasiconformal Mappings Between Hyperbolic Triangles

ZHAO Lei

doi:10.13371/j.cnki.chin.q.j.m.2021.04.007

Chinese Quarterly Journal of Mathematics >

2021 , Vol. 36 >Issue 4: 405 - 414

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.04.007

On Quasiconformal Mappings Between Hyperbolic Triangles

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School of Science, Beijing University of Posts and Telecommunications

ZHAO Lei (1997-), female, native of Shijiazhuang, Hebei, master candidate of Beijing University of Posts and Telecommunications, engages in complex analysis.

Received date: 2021-06-24

Online published: 2021-12-30

Supported by

Partially Supported by NSFC (Grant No. 12071047); Fundamental Research Funds for the Central Universities (Grant No. 500421126).

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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

Cite this article

ZHAO Lei . On Quasiconformal Mappings Between Hyperbolic Triangles[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(4) : 405 -414 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.007

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