Sharp nonremovability examples for Hölder continuous quasiregular mappings in the plane

Albert Clop, Ignacio Uriarte-Tuero

Let $\alpha \in (0,1)$, $K\ge 1$, and $d=2\frac{1+\alpha K}{1+K}$. Given a compact set $E\subset\C$, it is known that if $\H^d(E)=0$ then $E$ is removable for $\alpha$-Hölder continuous $K$-quasire…