Harmonic mappings onto R-convex domains
The plane domain D is called R-convex if D contains each compact set bounded by two shortest sub-arcs of the radius R with endpoints w1, w2 ∈ D, |w1−w2| <= 2R. In this paper, we prove the conditions of R-convexity for images of disks under harmonic sense preserving functions. The coefficient boun...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2019-06-01
|
| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=6190&lang=ru |