Nonbasic harmonic maps onto convex wedges
Volume 66 / 1993
Colloquium Mathematicum 66 (1993), 9-22
DOI: 10.4064/cm-66-1-9-22
Abstract
We construct a nonbasic harmonic mapping of the unit disk onto a convex wedge. This mapping satisfies the partial differential equation $\ov{f_{\bar{z}}}=af_{z}$ where a(z) is a nontrivial extreme point of the unit ball of $H^∞$.
