Caratheodory operator of differential forms

<p>Abstract</p> <p>This article is devoted to extensions of some existing results about the Caratheodory operator from the function sense to the differential form situation. Similarly as the function sense, we obtain the convergence of sequences of differential forms defined by the...

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Main Authors:	Tang Zhaoyang, Zhu Jianmin
Format:	Article
Language:	English
Published:	SpringerOpen 2011-01-01
Series:	Journal of Inequalities and Applications
Subjects:	differential forms Caratheodory operator continuity of operator
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2011/1/88

id	doaj-b7eb9884d41e47938126908ed6d41667
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spelling	doaj-b7eb9884d41e47938126908ed6d416672020-11-25T00:26:11ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011188Caratheodory operator of differential formsTang ZhaoyangZhu Jianmin<p>Abstract</p> <p>This article is devoted to extensions of some existing results about the Caratheodory operator from the function sense to the differential form situation. Similarly as the function sense, we obtain the convergence of sequences of differential forms defined by the Caratheodory operator. The main result in this article is the continuity and mapping property from one space of differential forms to another under some dominated conditions.</p> http://www.journalofinequalitiesandapplications.com/content/2011/1/88differential formsCaratheodory operatorcontinuity of operator
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Tang Zhaoyang Zhu Jianmin
spellingShingle	Tang Zhaoyang Zhu Jianmin Caratheodory operator of differential forms Journal of Inequalities and Applications differential forms Caratheodory operator continuity of operator
author_facet	Tang Zhaoyang Zhu Jianmin
author_sort	Tang Zhaoyang
title	Caratheodory operator of differential forms
title_short	Caratheodory operator of differential forms
title_full	Caratheodory operator of differential forms
title_fullStr	Caratheodory operator of differential forms
title_full_unstemmed	Caratheodory operator of differential forms
title_sort	caratheodory operator of differential forms
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2011-01-01
description	<p>Abstract</p> <p>This article is devoted to extensions of some existing results about the Caratheodory operator from the function sense to the differential form situation. Similarly as the function sense, we obtain the convergence of sequences of differential forms defined by the Caratheodory operator. The main result in this article is the continuity and mapping property from one space of differential forms to another under some dominated conditions.</p>
topic	differential forms Caratheodory operator continuity of operator
url	http://www.journalofinequalitiesandapplications.com/content/2011/1/88
work_keys_str_mv	AT tangzhaoyang caratheodoryoperatorofdifferentialforms AT zhujianmin caratheodoryoperatorofdifferentialforms
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Caratheodory operator of differential forms

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