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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.
Original language | English |
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Number of pages | 13 |
Journal | Complex Variables and Elliptic Equations |
Volume | 67 |
Issue number | 4 |
Early online date | 2020 |
DOIs | |
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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Dive into the research topics of 'Koebe and Caratheódory type boundary behavior results for harmonic mappings'. Together they form a unique fingerprint.Projects
- 1 Finished
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Parabolic flows with variational methods
Korte, R. (Principal investigator), Evdoridis, S. (Project Member), Vestberg, M. (Project Member), Buffa, V. (Project Member), Myyryläinen, K. (Project Member), Kurki, E.-K. (Project Member), Pacchiano Camacho, C. (Project Member), Takala, T. (Project Member) & Weigt, J. (Project Member)
01/09/2017 → 31/08/2021
Project: Academy of Finland: Other research funding