Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains

Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains

<p/> <p>This is a part of our series studies about the <inline-formula><graphic file="1029-242X-2001-647546-i2.gif"/></inline-formula>-averaging domains. In this paper, we first characterize <inline-formula><graphic file="1029-242X-2001-647546-i3...

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Bibliographic Details
Main Authors: Liu Bing, Ding Shusen
Format: Article
Language:English
Published: SpringerOpen 2001-01-01
Series:Journal of Inequalities and Applications
Subjects:
L<sup>s</sup>(&#956;)-averaging domain
Whitney covers
&#966;-quasi-isometry
Online Access:http://www.journalofinequalitiesandapplications.com/content/6/647546
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spelling doaj-204be428408440a3a200c7090fd022c12020-11-25T00:17:55ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2001-01-0120014647546Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domainsLiu BingDing Shusen<p/> <p>This is a part of our series studies about the <inline-formula><graphic file="1029-242X-2001-647546-i2.gif"/></inline-formula>-averaging domains. In this paper, we first characterize <inline-formula><graphic file="1029-242X-2001-647546-i3.gif"/></inline-formula>-averaging domains using the Whitney covers. Then we prove the invariance of <inline-formula><graphic file="1029-242X-2001-647546-i4.gif"/></inline-formula>-averaging domains under some mappings, such as <inline-formula><graphic file="1029-242X-2001-647546-i5.gif"/></inline-formula>-quasi-isometric mappings, <inline-formula><graphic file="1029-242X-2001-647546-i6.gif"/></inline-formula>-quasi-isometric mappings.</p>http://www.journalofinequalitiesandapplications.com/content/6/647546L<sup>s</sup>(&#956;)-averaging domainWhitney covers&#966;-quasi-isometry
collection DOAJ
language English
format Article
sources DOAJ
author Liu Bing
Ding Shusen
spellingShingle Liu Bing
Ding Shusen
Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains
Journal of Inequalities and Applications
L<sup>s</sup>(&#956;)-averaging domain
Whitney covers
&#966;-quasi-isometry
author_facet Liu Bing
Ding Shusen
author_sort Liu Bing
title Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains
title_short Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains
title_full Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains
title_fullStr Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains
title_full_unstemmed Whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242X-2001-647546-i1.gif"/></inline-formula>-averaging domains
title_sort whitney covers and quasi-isometry of <inline-formula><graphic file="1029-242x-2001-647546-i1.gif"/></inline-formula>-averaging domains
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2001-01-01
description <p/> <p>This is a part of our series studies about the <inline-formula><graphic file="1029-242X-2001-647546-i2.gif"/></inline-formula>-averaging domains. In this paper, we first characterize <inline-formula><graphic file="1029-242X-2001-647546-i3.gif"/></inline-formula>-averaging domains using the Whitney covers. Then we prove the invariance of <inline-formula><graphic file="1029-242X-2001-647546-i4.gif"/></inline-formula>-averaging domains under some mappings, such as <inline-formula><graphic file="1029-242X-2001-647546-i5.gif"/></inline-formula>-quasi-isometric mappings, <inline-formula><graphic file="1029-242X-2001-647546-i6.gif"/></inline-formula>-quasi-isometric mappings.</p>
topic L<sup>s</sup>(&#956;)-averaging domain
Whitney covers
&#966;-quasi-isometry
url http://www.journalofinequalitiesandapplications.com/content/6/647546
work_keys_str_mv AT liubing whitneycoversandquasiisometryofinlineformulagraphicfile1029242x2001647546i1gifinlineformulaaveragingdomains
AT dingshusen whitneycoversandquasiisometryofinlineformulagraphicfile1029242x2001647546i1gifinlineformulaaveragingdomains
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