On the derivative of hyperbolically convex functions.
On hyperbolically convex conformal mappings.
The analytic fixed point function. II.
On groups and normal polymorphic functions.
On coefficients, boundary size and Hölder domains.
Über einige Klassen meromorpher schlichter Funktionen.
Konforme Abbildung und Fekete-Punkte.
On the Green's Fundamental Domain.
Über die Subordination analytischer Funktionen.
Bieberbachova domněnka
Fixed points and boundary behaviour of the Koenigs function.
Über die quasikonforme Fortsetzung schlichter Funktionen.
Hölder continuity of conformal mappings and non-quasiconformal Jordan curves.
On radial behaviour and balanced Bloch functions.
A Bloch function g is a function analytic in the unit disk such that (1 - |z|2) |g' (z)| is bounded. First we generalize the theorem of Rohde that, for every bad Bloch function, g(rζ) (r → 1) follows any prescribed curve at a bounded distance for ζ in a set of Hausdorff dimension almost one. Then we introduce balanced Bloch functions. They are characterized by the fact that |g'(z)| does not vary much on each circle {|z| = r} except for small exceptional arcs. We show e.g. that ...
On the angular boundedness of Bloch functions.
On the angular limits of Bloch functions.
This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.
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