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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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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

Abstract

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