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On the boundary behaviour of Bloch and normal functions

Published online by Cambridge University Press:  17 April 2009

Rauno Aulaskari
Rauno Aulaskari
Affiliation:
Department of Mathematics, University of Joensuu, P.O. Box 111, SF-80101 Joensuu 10, Finland.
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Abstract

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Criteria for an analytic function f defined in |z| < 1 to belong to B0, the class of Bloch functions satisfying , and criteria for a meromorphic function g defined in |z| < 1 to belong to N0, namely, to satisfy are obtained in terms of the area and the length of the images of hyperbolic disks and hyperbolic circles, respectively.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 2 , October 1984 , pp. 299 - 305
Copyright
Copyright © Australian Mathematical Society 1984

References

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