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 journalArticlepeer-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
JournalComplex Variables and Elliptic Equations
DOIs
StateAccepted/In press - 2020

Keywords

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

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