Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 649340, 17 pages
Research Article

Weighted Decomposition Estimates for Differential Forms

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 28 October 2009; Revised 5 March 2010; Accepted 24 March 2010

Academic Editor: Shusen Ding

Copyright © 2010 Yong Wang and Guanfeng Li. 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.


After introducing the definition of Ar,λβ-weights, we establish the Ar(Ω)-weighted decomposition estimates and Ar,λβ(Ω)-weighted Caccioppoli-type estimates for A-harmonic tensors. Furthermore, by Whitney covering lemma, we obtain the global results in domain ΩRn. These results can be used to study the integrability of differential forms and to estimate the integrals for differential forms.