Advances in Difference Equations
Volume 2011 (2011), Article ID 913403, 6 pages
doi:10.1155/2011/913403
Research Article

Notes on Interpolation Inequalities

Jiu-Gang Dong1 and Ti-Jun Xiao2

1Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
2Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Received 3 October 2010; Accepted 16 November 2010

Academic Editor: Toka Diagana

Copyright © 2011 Jiu-Gang Dong and Ti-Jun Xiao. 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.

Abstract

An easy proof of the John-Nirenberg inequality is provided by merely using the Calderón-Zygmund decomposition. Moreover, an interpolation inequality is presented with the help of the John-Nirenberg inequality.