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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Pages (from-to) | 962-974 |
Number of pages | 13 |
Journal | Complex Variables and Elliptic Equations |
Volume | 67 |
Issue number | 4 |
DOIs | |
State | Published - 2022 |
Keywords
- 31A05
- Harmonic mapping
- Primary: 30C55
- Secondary:30C62
- boundary behavior