Weighted Decomposition Estimates for Differential Forms

<p/> <p>After introducing the definition of <inline-formula> <graphic file="1029-242X-2010-649340-i1.gif"/></inline-formula>-weights, we establish the <inline-formula> <graphic file="1029-242X-2010-649340-i2.gif"/></inline-formula>-...

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Main Authors:	Wang Yong, Li Guanfeng
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2010/649340

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spelling	doaj-dfa5218c151c4762b051f2350b1867be2020-11-24T21:33:52ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101649340Weighted Decomposition Estimates for Differential FormsWang YongLi Guanfeng<p/> <p>After introducing the definition of <inline-formula> <graphic file="1029-242X-2010-649340-i1.gif"/></inline-formula>-weights, we establish the <inline-formula> <graphic file="1029-242X-2010-649340-i2.gif"/></inline-formula>-weighted decomposition estimates and <inline-formula> <graphic file="1029-242X-2010-649340-i3.gif"/></inline-formula>-weighted Caccioppoli-type estimates for <inline-formula> <graphic file="1029-242X-2010-649340-i4.gif"/></inline-formula>-harmonic tensors. Furthermore, by Whitney covering lemma, we obtain the global results in domain <inline-formula> <graphic file="1029-242X-2010-649340-i5.gif"/></inline-formula>. These results can be used to study the integrability of differential forms and to estimate the integrals for differential forms.</p>http://www.journalofinequalitiesandapplications.com/content/2010/649340
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wang Yong Li Guanfeng
spellingShingle	Wang Yong Li Guanfeng Weighted Decomposition Estimates for Differential Forms Journal of Inequalities and Applications
author_facet	Wang Yong Li Guanfeng
author_sort	Wang Yong
title	Weighted Decomposition Estimates for Differential Forms
title_short	Weighted Decomposition Estimates for Differential Forms
title_full	Weighted Decomposition Estimates for Differential Forms
title_fullStr	Weighted Decomposition Estimates for Differential Forms
title_full_unstemmed	Weighted Decomposition Estimates for Differential Forms
title_sort	weighted decomposition estimates for differential forms
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2010-01-01
description	<p/> <p>After introducing the definition of <inline-formula> <graphic file="1029-242X-2010-649340-i1.gif"/></inline-formula>-weights, we establish the <inline-formula> <graphic file="1029-242X-2010-649340-i2.gif"/></inline-formula>-weighted decomposition estimates and <inline-formula> <graphic file="1029-242X-2010-649340-i3.gif"/></inline-formula>-weighted Caccioppoli-type estimates for <inline-formula> <graphic file="1029-242X-2010-649340-i4.gif"/></inline-formula>-harmonic tensors. Furthermore, by Whitney covering lemma, we obtain the global results in domain <inline-formula> <graphic file="1029-242X-2010-649340-i5.gif"/></inline-formula>. These results can be used to study the integrability of differential forms and to estimate the integrals for differential forms.</p>
url	http://www.journalofinequalitiesandapplications.com/content/2010/649340
work_keys_str_mv	AT wangyong weighteddecompositionestimatesfordifferentialforms AT liguanfeng weighteddecompositionestimatesfordifferentialforms
_version_	1725951608965038080

Weighted Decomposition Estimates for Differential Forms

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