Computational Methods and Function Theory 8 (2008), No. 1, 261--275
Copyright Heldermann Verlag 2008
On the Boundary Behaviour of Univalent Harmonic Mappings onto Convex Domains
email@example.com , Technion, Department of Mathematics, Haifa 32000, Israel.
firstname.lastname@example.org , American University of Beirut, Department of Mathematics, Beirut, Lebanon.
email@example.com , Purdue University, Department of Mathematics, West Lafayette, IN 47907-1395, U.S.A.
In this note we discuss the boundary behavior of a univalent harmonic mapping f from the unit disk U ``onto'' a bounded convex domain Ω in the sense of Hengartner and Schober, whose second dilatation function a is an inner function. This problem was raised by Laugesen in .
Keywords: Harmonic mapping, analytic dilatation, convex domains, elliptic differential equation.
MSC 2000: Primary 26C10; Secondary 30C15.
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