Skip to content


  • Research Article
  • 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:


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 Group
  • Full Article
  • Publisher Note

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

Department of Mathematical Analysis, Institute of Mathematics and Mechanics, AZ1145 Baku, Azerbaijan
Department of Mathematics, Ankara University, 06100 Ankara, Turkey
Department of Mathematics, Istanbul Aydin University, 34295 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.