Harmonic mappings onto R-convex domains
Journal Title: Проблемы анализа-Issues of Analysis - Year 2019, Vol 8, Issue 2
Abstract
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 bounds for harmonic mappings of the unit disk onto R-convex domains are obtained.
Authors and Affiliations
S. Yu. Graf
Keywords
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- EP ID EP593168
- DOI 10.15393/j3.art.2019.6190
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