Complex Variables Theory and Application An International Journal · 1985 · 19 citations · 3 references
Natural SciencesMathematicsGeometryNumber TheoryTopologyAnalytic GeometryEuclidean GeometryConformal GeometryConformal InvarianceRotations
Let D be a simply connected bounded region in the plane. Let z0eD. Let F θ denote the conformal automorphism of D with . Let Θ be the set of θ e (0, 2π) such that F θ has a continuous extension to the closure of D. This paper investigates geometric and prime end properties of ðD which can be inferred from properties of Θ.
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On the boundary continuity of conformal maps
Christian Pommerenke · Pacific Journal of Mathematics · 1985 · 11 citations · Full text