Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 351597, 14 pages
doi:10.1155/2010/351597
Research Article

Hardy-Littlewood and Caccioppoli-Type Inequalities for A-Harmonic Tensors

Peilin Shi1 and Shusen Ding2

1Department of Epidemiology, Harvard School of Public Health, Harvard University, Boston, MA 02115, USA
2Department of Mathematics, Seattle University, Seattle, WA 98122, USA

Received 21 December 2009; Revised 17 March 2010; Accepted 19 March 2010

Academic Editor: Yuming Xing

Copyright © 2010 Peilin Shi and Shusen Ding. 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 the new versions of the weighted Hardy-Littlewood inequality and Caccioppoli-type inequality for A-harmonic tensors. We also explore applications of our results to K-quasiregular mappings and p-harmonic functions in Rn.