Geodesic
Versions of Schwarz's Lemma for Condenser Capacity and Inner Radius
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 241-250

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DOI

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.
DOI : 10.4153/CMB-2011-189-8
Mots-clés : 30C80, 30F45, 31A15, condenser capacity, inner radius, hyperbolic metric, Schwarz's lemma 
Betsakos, Dimitrios; Pouliasis, Stamatis. Versions of Schwarz's Lemma for Condenser Capacity and Inner Radius. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 241-250. doi: 10.4153/CMB-2011-189-8
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     author = {Betsakos, Dimitrios and Pouliasis, Stamatis},
     title = {Versions of {Schwarz's} {Lemma} for {Condenser} {Capacity} and {Inner} {Radius}},
     journal = {Canadian mathematical bulletin},
     pages = {241--250},
     year = {2013},
     volume = {56},
     number = {2},
     doi = {10.4153/CMB-2011-189-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-189-8/}
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