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Nonbasic harmonic maps onto convex wedges

Josephi Cima; Alberti Livingston — 1993

Colloquium Mathematicae

We construct a nonbasic harmonic mapping of the unit disk onto a convex wedge. This mapping satisfies the partial differential equation $f_{\bar{z}} = a f_{z}$ where a(z) is a nontrivial extreme point of the unit ball of $H^{\infty}$ .

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