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Displaying similar documents to “An example of a Bloch function.”

On M -Bloch functions.

Jevtić, Miroljub, Pavlović, Miroslav (1993)

Publications de l'Institut Mathématique. Nouvelle Série

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On radial behaviour and balanced Bloch functions.

Juan Jesús Donaire, Christian Pommerenke (1999)

Revista Matemática Iberoamericana

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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...