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Two-Weighted Intergal Inequalities for Differential Forms

• Journal title : Kyungpook mathematical journal
• Volume 49, Issue 3,  2009, pp.403-410
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2009.49.3.403
Title & Authors
Two-Weighted Intergal Inequalities for Differential Forms
Xiuyin, Shang; Zhihua, Gu; Zengbo, Zhang;

Abstract
In this paper, we make use of the weight to obtain some two-weight integral inequalities which are generalizations of the Poincar$\small{\{e}}$ 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 differential forms. Finally, we give some applications of this results to quasiregular mappings.
Keywords
differential form;Poincar$\small{\{e}}$ inequality;A-harmonic equation;H$\small{\"{o}}$lder inequality;
Language
English
Cited by
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