Koebe and Caratheódory type boundary behavior results for harmonic mappings

Daoud Bshouty; Jiaolong Chen; Stavros Evdoridis; Antti Rasila

doi:10.1080/17476933.2020.1851212

Koebe and Caratheódory type boundary behavior results for harmonic mappings

Daoud Bshouty, Jiaolong Chen, Stavros Evdoridis, Antti Rasila^*

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

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

3 Citations (Scopus)

Abstract

We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalization of a boundary behavior theorem by Bshouty, Lyzzaik and Weitsman. We also discuss this result from a different point of view, from which a relation between the boundary behavior of the dilatation at a boundary point and the continuity of the boundary function of our mapping can be seen.

Original language	English
Number of pages	13
Journal	Complex Variables and Elliptic Equations
Volume	67
Issue number	4
Early online date	2020
DOIs	https://doi.org/10.1080/17476933.2020.1851212
Publication status	Published - 28 Nov 2020
MoE publication type	A1 Journal article-refereed

Keywords

31A05
boundary behavior
Harmonic mapping
Primary: 30C55
Secondary:30C62

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10.1080/17476933.2020.1851212

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abstract = "We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalization of a boundary behavior theorem by Bshouty, Lyzzaik and Weitsman. We also discuss this result from a different point of view, from which a relation between the boundary behavior of the dilatation at a boundary point and the continuity of the boundary function of our mapping can be seen.",

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author = "Daoud Bshouty and Jiaolong Chen and Stavros Evdoridis and Antti Rasila",

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AU - Bshouty, Daoud

AU - Chen, Jiaolong

AU - Evdoridis, Stavros

AU - Rasila, Antti

PY - 2020/11/28

Y1 - 2020/11/28

N2 - We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalization of a boundary behavior theorem by Bshouty, Lyzzaik and Weitsman. We also discuss this result from a different point of view, from which a relation between the boundary behavior of the dilatation at a boundary point and the continuity of the boundary function of our mapping can be seen.

AB - We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalization of a boundary behavior theorem by Bshouty, Lyzzaik and Weitsman. We also discuss this result from a different point of view, from which a relation between the boundary behavior of the dilatation at a boundary point and the continuity of the boundary function of our mapping can be seen.

KW - 31A05

KW - boundary behavior

KW - Harmonic mapping

KW - Primary: 30C55

KW - Secondary:30C62

UR - http://www.scopus.com/inward/record.url?scp=85097592803&partnerID=8YFLogxK

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DO - 10.1080/17476933.2020.1851212

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SN - 1747-6933

VL - 67

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 4

ER -

Koebe and Caratheódory type boundary behavior results for harmonic mappings

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Parabolic flows with variational methods

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Koebe and Caratheódory type boundary behavior results for harmonic mappings

Abstract

Keywords

Access to Document

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Fingerprint

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Parabolic flows with variational methods

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