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  • Research Article
  • Open Access

On Some Quasimetrics and Their Applications

Journal of Inequalities and Applications20092009:167403

  • Received: 27 September 2009
  • Accepted: 8 December 2009
  • Published:


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 .


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Authors’ Affiliations

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


© I. Bachar and H. Mâagli. 2009

This article is published under license to BioMed Central Ltd. 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.