Koebe and Caratheódory type boundary behavior results for harmonic mappings

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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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 languageEnglish
Number of pages13
JournalCOMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Early online date2020
DOIs
Publication statusPublished - 28 Nov 2020
MoE publication typeA1 Journal article-refereed

Keywords

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

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