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On the angular limits of Bloch functions.

Joan J. CarmonaJulià CufiChristian Pommerenke — 1988

Publicacions Matemàtiques

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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