Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

Shaolin Chen; Saminathan Ponnusamy; Antti Rasila

doi:10.1016/j.na.2014.12.005

Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

Shaolin Chen, Saminathan Ponnusamy, Antti Rasila^*

^*Corresponding author for this work

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

11 Scopus citations

Abstract

In this paper, we give bounds for length and area distortion for harmonic K-quasiconformal mappings, and investigate certain Lipschitz-type spaces on harmonic mappings.

Original language	English
Pages (from-to)	62-70
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	115
DOIs	https://doi.org/10.1016/j.na.2014.12.005
State	Published - Mar 2015
Externally published	Yes

Keywords

Area function
Hardy and lipschitz spaces
Harmonic and bloch mappings
Length
Quasiconformal mappings

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10.1016/j.na.2014.12.005

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title = "Lengths, areas and Lipschitz-type spaces of planar harmonic mappings",

abstract = "In this paper, we give bounds for length and area distortion for harmonic K-quasiconformal mappings, and investigate certain Lipschitz-type spaces on harmonic mappings.",

keywords = "Area function, Hardy and lipschitz spaces, Harmonic and bloch mappings, Length, Quasiconformal mappings",

author = "Shaolin Chen and Saminathan Ponnusamy and Antti Rasila",

year = "2015",

month = mar,

doi = "10.1016/j.na.2014.12.005",

language = "英语",

volume = "115",

pages = "62--70",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

AU - Chen, Shaolin

AU - Ponnusamy, Saminathan

AU - Rasila, Antti

PY - 2015/3

Y1 - 2015/3

N2 - In this paper, we give bounds for length and area distortion for harmonic K-quasiconformal mappings, and investigate certain Lipschitz-type spaces on harmonic mappings.

AB - In this paper, we give bounds for length and area distortion for harmonic K-quasiconformal mappings, and investigate certain Lipschitz-type spaces on harmonic mappings.

KW - Area function

KW - Hardy and lipschitz spaces

KW - Harmonic and bloch mappings

KW - Length

KW - Quasiconformal mappings

UR - http://www.scopus.com/inward/record.url?scp=84920804706&partnerID=8YFLogxK

U2 - 10.1016/j.na.2014.12.005

DO - 10.1016/j.na.2014.12.005

M3 - 文章

AN - SCOPUS:84920804706

SN - 0362-546X

VL - 115

SP - 62

EP - 70

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

Abstract

Keywords

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