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Versions of Schwarz's Lemma for Condenser Capacity and Inner Radius

Published online by Cambridge University Press:  20 November 2018

Dimitrios Betsakos
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece e-mail: betsakos@math.auth.grspoulias@math.auth.gr
Stamatis Pouliasis
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece e-mail: betsakos@math.auth.grspoulias@math.auth.gr
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Abstract

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We prove variants of Schwarz's lemma involving monotonicity properties of condenser capacity and inner radius. Also, we examine when a similar monotonicity property holds for the hyperbolic metric.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2013

References

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