Quasihyperbolic quasi-isometry and schwarz lemma of planar flat harmonic mappings

Qingtian Shi; Yi Qi

doi:10.2298/FIL1815371S

Quasihyperbolic quasi-isometry and schwarz lemma of planar flat harmonic mappings

Qingtian Shi^*
, Yi Qi

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

A sufficient condition of a flat harmonic quasiconformal mapping to be a quasihyperbolic quasi-isometry on any subdomain of C is given in this paper, which generalizes the corresponding results of Euclidean and 1/|ω| ² harmonic mappings. As an application, Schwarz lemma of flat harmonic mapping is also investigated. Besides, properties and constructions of flat harmonic mapping are obtained at the same time.

源语言	英语
页（从-至）	5371-5383
页数	13
期刊	Filomat
卷	32
期	15
DOI	https://doi.org/10.2298/FIL1815371S
出版状态	已出版 - 2018

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10.2298/FIL1815371S

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abstract = " A sufficient condition of a flat harmonic quasiconformal mapping to be a quasihyperbolic quasi-isometry on any subdomain of C is given in this paper, which generalizes the corresponding results of Euclidean and 1/|ω| 2 harmonic mappings. As an application, Schwarz lemma of flat harmonic mapping is also investigated. Besides, properties and constructions of flat harmonic mapping are obtained at the same time.",

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T1 - Quasihyperbolic quasi-isometry and schwarz lemma of planar flat harmonic mappings

AU - Shi, Qingtian

AU - Qi, Yi

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N2 - A sufficient condition of a flat harmonic quasiconformal mapping to be a quasihyperbolic quasi-isometry on any subdomain of C is given in this paper, which generalizes the corresponding results of Euclidean and 1/|ω| 2 harmonic mappings. As an application, Schwarz lemma of flat harmonic mapping is also investigated. Besides, properties and constructions of flat harmonic mapping are obtained at the same time.

AB - A sufficient condition of a flat harmonic quasiconformal mapping to be a quasihyperbolic quasi-isometry on any subdomain of C is given in this paper, which generalizes the corresponding results of Euclidean and 1/|ω| 2 harmonic mappings. As an application, Schwarz lemma of flat harmonic mapping is also investigated. Besides, properties and constructions of flat harmonic mapping are obtained at the same time.

KW - Euclidean harmonic mapping

KW - Quasihyperbolic quasi-isometry

KW - Quasiregular mapping

KW - Schwarz lemma

KW - ϕ-Harmonic quasiconformal mapping

UR - https://www.scopus.com/pages/publications/85061358789

U2 - 10.2298/FIL1815371S

DO - 10.2298/FIL1815371S

M3 - 文章

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Quasihyperbolic quasi-isometry and schwarz lemma of planar flat harmonic mappings

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