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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  and
Stamatis Pouliasis
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.

Keywords

30C8030F4531A15condenser capacityinner radiushyperbolic metricSchwarz's lemma
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 2 , 01 June 2013 , pp. 241 - 250
Copyright
Copyright © Canadian Mathematical Society 2013

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