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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Online Access: | http://www.journalofinequalitiesandapplications.com/content/6/647546 |
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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>(μ)-averaging domainWhitney coversφ-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>(μ)-averaging domain Whitney covers φ-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>(μ)-averaging domain Whitney covers φ-quasi-isometry |
url |
http://www.journalofinequalitiesandapplications.com/content/6/647546 |
work_keys_str_mv |
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