Author:
Betsakos Dimitrios,Pouliasis Stamatis
Abstract
AbstractWe 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.
Publisher
Canadian Mathematical Society
Cited by
6 articles.
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1. Length and Area Estimates for (Hyperbolically) Convex Conformal Mappings;Computational Methods and Function Theory;2018-10-08
2. Conformal mapping, convexity and total absolute curvature;Conformal Geometry and Dynamics of the American Mathematical Society;2018-03-05
3. Monotonicity theorems for analytic functions centered at infinity;Proceedings of the American Mathematical Society;2014-06-23
4. On the images of horodisks under holomorphic self-maps of the unit disk;Archiv der Mathematik;2014-01
5. Hyperbolic geometric versions of Schwarz’s lemma;Conformal Geometry and Dynamics of the American Mathematical Society;2013-11-01