On the Uniqueness of the Norton-Sullivan Quasiconformal extension

José Afonso Barrionuevo, Felipe Gonçalves, José Victor Medeiros +1

We show that the extension map \[ \mathcal{E}_{NS}(f)(z)=\frac{f(x+y)+f(x-y)}{2}+i\frac{f(x+y)-f(x-y)}{2}\mbox{ for all }z=x+iy\in\mathbb{H}\,, \] defined by Norton and Sullivan in…