Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 96368, 6 pages
doi:10.1155/JIA/2006/96368

Schwarz-Pick-type estimates for the hyperbolic derivative

Peter R. Mercer

Department of Mathematics, Buffalo State College, 14222, NY, USA

Received 12 February 2005; Revised 3 November 2005; Accepted 8 November 2005

Copyright © 2006 Peter R. Mercer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the unit disk in .