Versions of schwarz's lemma for condenser capacity and inner radius

Dimitrios Betsakos; Stamatis Pouliasis

doi:10.4153/CMB-2011-189-8

Versions of schwarz's lemma for condenser capacity and inner radius

Dimitrios Betsakos, Stamatis Pouliasis

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	241-250
Number of pages	10
Journal	Canadian Mathematical Bulletin
Volume	56
Issue number	2
DOIs	https://doi.org/10.4153/CMB-2011-189-8
State	Published - Jun 2013

Keywords

Condenser Capacity
Hyperbolic metric
Inner Radius
Schwarz's lemma

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title = "Versions of schwarz's lemma for condenser capacity and inner radius",

abstract = "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 = "Condenser Capacity, Hyperbolic metric, Inner Radius, Schwarz's lemma",

author = "Dimitrios Betsakos and Stamatis Pouliasis",

year = "2013",

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AB - 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.

KW - Condenser Capacity

KW - Hyperbolic metric

KW - Inner Radius

KW - Schwarz's lemma

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M3 - Article

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JO - Canadian Mathematical Bulletin

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Versions of schwarz's lemma for condenser capacity and inner radius

Abstract

Keywords

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