Beltrami equations with coefficient in the fractional Sobolev space $W^{\theta ,\frac{2}{\theta }}$

Antonio Luis Baisón, Albert Clop, Joan Orobitg

In this paper, we look at quasiconformal solutions $\varphi :\mathbb{C}\to \mathbb{C}$ of Beltrami equations $${\partial }_{\overline{z}}\varphi (z)=\mu (z){\partial }_z\varphi (z).$$ where $μ\in L^\infty(…