BMO and Dirichlet Problem for Degenerate Beltrami Equation

Following Bojarski and Vekua, we have studied the Dirichlet problem $$ \underset{z\to \zeta }{\lim}\operatorname{Re}\ f(z)=\varphi \left(\zeta \right) as z ? ?, ? D, ? ?D, with continuous boundary data ?(?) in bounded domains D of complex plane ?, where f satisfies degenerate Beltrami equation {f}_{\overline{z}}=\mu (z){f}_z,\left|\mu (z)\right|<1 , a.e. D. Assuming that is an arbitrary simply connected domain, established, terms ?, BMO FMO criteria, well a number other integral on existence representation regular discrete open solutions to stated above problem. We also proven similar theorems multivalued single-valued real parts domain no component degenerated single point. Finally, given solvability results concerning such for A-harmonic associated equation.