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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2001-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/6/647546 |
| _version_ | 1818361202397413376 |
|---|---|
| author | Liu Bing Ding Shusen |
| author_facet | Liu Bing Ding Shusen |
| author_sort | Liu Bing |
| collection | DOAJ |
| 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> |
| first_indexed | 2024-12-13T21:12:56Z |
| format | Article |
| id | doaj.art-204be428408440a3a200c7090fd022c1 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-13T21:12:56Z |
| publishDate | 2001-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-204be428408440a3a200c7090fd022c12022-12-21T23:31:19ZengSpringerOpenJournal 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 |
| 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 |
| title | 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_short | 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 |
| topic | L<sup>s</sup>(μ)-averaging domain Whitney covers φ-quasi-isometry |
| url | http://www.journalofinequalitiesandapplications.com/content/6/647546 |
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