Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 69379, 5 pages

Extensions of Hardy inequality

Junyong Zhang

The Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, China

Received 2 May 2006; Revised 2 August 2006; Accepted 13 August 2006

Copyright © 2006 Junyong Zhang. 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.


We study extended Hardy inequalities using Littlewood-Paley theory and nonlinear estimates' method in Besov spaces. Our results improve and extend the well-known results of Cazenave (2003).