Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric

J. Huang; A. Rasila; J.-F. Zhu

doi:10.1007/s10476-022-0132-z

Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric

J. Huang, A. Rasila, J.-F. Zhu

Mathematics with Computer Science

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings. © 2022, Akadémiai Kiadó, Budapest.

Original language	English
Journal	Analysis Mathematica
DOIs	https://doi.org/10.1007/s10476-022-0132-z
State	Published - 2022

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title = "Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric",

abstract = "In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings. {\textcopyright} 2022, Akad{\'e}miai Kiad{\'o}, Budapest.",

author = "J. Huang and A. Rasila and J.-F. Zhu",

year = "2022",

doi = "10.1007/s10476-022-0132-z",

language = "英语",

journal = "Analysis Mathematica",

issn = "0133-3852",

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T1 - Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric

AU - Huang, J.

AU - Rasila, A.

AU - Zhu, J.-F.

PY - 2022

Y1 - 2022

N2 - In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings. © 2022, Akadémiai Kiadó, Budapest.

AB - In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings. © 2022, Akadémiai Kiadó, Budapest.

U2 - 10.1007/s10476-022-0132-z

DO - 10.1007/s10476-022-0132-z

M3 - 文章

SN - 0133-3852

JO - Analysis Mathematica

JF - Analysis Mathematica

ER -

Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric

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