Normal solutions of the Beltrami equation (Q579459)

The authors compute the normalized Ahlfors solution of the Beltrami equation \(f_{\bar z}=\mu f_ z\), where \(\mu (z)=(z/\bar z)^ k\chi_{\Delta}(z)\). The constant \(0<m<1\), k is any integer and \(\Delta\) is the unit disc. We use the singular integral technique of Caldéron and an induction argument.