Original Article
Kyungpook Mathematical Journal 2009; 49(3): 403-410
Published online September 23, 2009
Copyright © Kyungpook Mathematical Journal.
Two-Weighted Intergal Inequalities for Di erential Forms
Shang Xiuyin, Gu Zhihua, Zhang Zengbo
College of Science, Agricultural University of Hebei, Boading, 071001, P. R. China
In this paper, we make use of the weight to obtain some two-weight integral inequalities which are generalizations of the Poincar e inequality. These inequalities are extensions of classical results and can be used to study the integrability of differential forms and to estimate the integrals of di erential forms. Finally, we give some applications of this results to quasiregular mappings.
Keywords: differential form, Poincar'{e} inequality, $A$-harmonic equation, H"{o}lder inequality