Linearly invariant families, Bloch functions and uniformly perfect sets

Author: Godula Janusz  

Publisher: Taylor & Francis Ltd

ISSN: 1747-6933

Source: Complex Variables and Elliptic Equations, Vol.57, Iss.10, 2012-10, pp. : 1087-1095

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Abstract

We consider connections between linearly invariant families and Bloch functions defined in the unit disc as well as in a hyperbolic domain. The assumption of uniformly perfectness of a related set is very important.