Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 167403, 12 pages
doi:10.1155/2009/167403
Research Article

On Some Quasimetrics and Their Applications

Imed Bachar1 and Habib Mâagli2

1Mathematics Department, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
2Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, 2092 Tunis, Tunisia

Received 27 September 2009; Accepted 8 December 2009

Academic Editor: Shusen Ding

Copyright © 2009 Imed Bachar and Habib Mâagli. 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 aim at giving a rich class of quasi-metrics from which we obtain as an application an interesting inequality for the Greens function of the fractional Laplacian in a smooth domain in ℝn.