Annales Academię Scientiarum Fennicę
Mathematica
Volumen 37, 2012, 135-147
Technion, Department of Mathematics
Haifa 32000, Israel; daoud 'at' tx.technion.ac.il
American University of Beirut, Department of Mathematics
Beirut, Lebanon; lyzzaik 'at' aub.edu.lb
Purdue University, Department of Mathematics West Lafayette, IN 47907-1395, U.S.A.; weitsman 'at' purdue.edu
Abstract. We investigate various boundary behavior properties of harmonic mappings of the unit disk D with emphasis on univalent harmonic mappings "onto" D in the sense of Hengartner and Schober [10]. This study continues the earlier work of the authors [4] on a problem that was raised by Laugesen [12].
2010 Mathematics Subject Classification: Primary 30J99, 31A99.
Key words: Harmonic mapping, analytic dilatation, convex domains, elliptic differential equation.
Reference to this article: D. Bshouty, A. Lyzzaik and A. Weitsman: On the boundary behavior of univalent harmonic mappings. Ann. Acad. Sci. Fenn. Math. 37 (2012), 135-147.
doi:10.5186/aasfm.2012.3701
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