Abstract

A plane Jordan curve r satisfies an interior (exterior) wedge condition if for some a E (0,1) there is a fixed wedge of opening arT such that for any X E F one may place a wedge inside (outside) F with vertex at w. Let f be a conformal mapping of the disk D onto the interior of F. We establish Holder continuity of f(f-1) on AD(F) with best possible exponents in terms of a.

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