Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 924840, 10 pages
doi:10.1155/2011/924840
Research Article

Some Weighted Hardy-Type Inequalities on Anisotropic Heisenberg Groups

Bao-Sheng Lian,1 Qiao-Hua Yang,2 and Fen Yang1

1College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
2School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received 9 December 2010; Accepted 4 March 2011

Academic Editor: Matti K. Vuorinen

Copyright © 2011 Bao-Sheng Lian et al. 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

We prove some weighted Hardy type inequalities associated with a class of nonisotropic Greiner-type vector fields on anisotropic Heisenberg groups. As an application, we get some new Hardy type inequalities on anisotropic Heisenberg groups which generalize a result of Yongyang Jin and Yazhou Han.