On the Solutions for Grotzsch Annulus Extremal problem
Keywords:
Gr\"otzsch extremal problem, quasiconformal mapping, hyperbolic area distortionAbstract
Using the properties of planar quasiconformal mappings, we obtain the solutions for the Grotzsch extremal problem on the annulus. We also point out the shortcoming used in [3] for solving this extremal problem. Moreover, by the hyperbolic area distortion and the property of domain module, one criterion for the solution of the Grotzsch annulus extremal problem is given under some conditions.Downloads
Published
2009-10-01
Issue
Section
Complex Analysis
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.
How to Cite
On the Solutions for Grotzsch Annulus Extremal problem. (2009). European Journal of Pure and Applied Mathematics, 2(4), 532-543. https://ejpam.com/index.php/ejpam/article/view/460