Skip to content


Open Access

Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications

Journal of Inequalities and Applications20092009:864191

Received: 13 May 2008

Accepted: 24 February 2009

Published: 16 March 2009


The Meda inequality for rearrangements of the convolution operator on the Heisenberg group is proved. By using the Meda inequality, an O'Neil-type inequality for the convolution is obtained. As applications of these results, some sufficient and necessary conditions for the boundedness of the fractional maximal operator and fractional integral operator with rough kernels in the spaces are found. Finally, we give some comments on the extension of our results to the case of homogeneous groups.


Heisenberg GroupFull ArticlePublisher Note

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

Department of Mathematical Analysis, Institute of Mathematics and Mechanics, Baku, Azerbaijan
Department of Mathematics, Ankara University, Ankara, Turkey
Department of Mathematics, Istanbul Aydin University, Istanbul, Turkey


© V.S. Guliyev et al. 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.