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>-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/649340 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |