On Some Quasimetrics and Their Applications

Imed Bachar; Habib Mâagli

doi:10.1155/2009/167403

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Research Article

Open Access

On Some Quasimetrics and Their Applications

Imed Bachar¹Email author and
Habib Mâagli²

Journal of Inequalities and Applications20092009:167403

https://doi.org/10.1155/2009/167403

Received: 27 September 2009

Accepted: 8 December 2009

Published: 31 December 2009

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 .

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Authors’ Affiliations

(1)

Mathematics Department, College of Sciences, King Saud University

(2)

Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire

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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.