A remark on the boundary behavior of quasiconformal mappings and the classification of Riemann surfaces
The author shows that neither the property of being in the Widom class nor the property of being AB-separable (i.e. bounded analytic functions separate points) are preserved by quasiconformal mapping. The required counter examples are constructed as two sheeted covers of the plane and their properties are demonstrated using criteria of \textit{C. M. Stanton} [Pac. J. Math. 59, 557-565 (1975; Zbl 0328.30040)].
scientific article; zbMATH DE number 3906840