# Measurable Riemann mapping theorem

The theorem of Ahlfors and Bers states that if μ is a bounded measurable function on C with ${\displaystyle \|\mu \|_{\infty }<1}$, then there is a unique solution f of the Beltrami equation
${\displaystyle \partial _{\overline {z}}f(z)=\mu (z)\partial _{z}f(z)}$