Rotation bounds for Hölder continuous homeomorphisms with integrable distortion

Albert Clop, Lauri Hitruhin, Banhirup Sengupta

We obtain sharp rotation bounds for the subclass of homeomorphisms $f:\mathbb{C}\to \mathbb{C}$ of finite distortion which have distortion function in $L_{loc}^p$, $p>1$, and for wh…