Weighted Inequalities for Potential Operators on Differential Forms
We develop the weak-type and strong-type inequalities for potential operators under two-weight conditions to the versions of differential forms. We also obtain some estimates for potential operators applied to the solutions of the nonhomogeneous A-harmonic equation.
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2010-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2010/713625 |
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doaj-7e8d3d993a444365bd9dc1a8f26f5f882020-11-25T00:37:56ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/713625Weighted Inequalities for Potential Operators on Differential FormsHui BiWe develop the weak-type and strong-type inequalities for potential operators under two-weight conditions to the versions of differential forms. We also obtain some estimates for potential operators applied to the solutions of the nonhomogeneous A-harmonic equation. http://dx.doi.org/10.1155/2010/713625 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hui Bi |
spellingShingle |
Hui Bi Weighted Inequalities for Potential Operators on Differential Forms Journal of Inequalities and Applications |
author_facet |
Hui Bi |
author_sort |
Hui Bi |
title |
Weighted Inequalities for Potential Operators on Differential Forms |
title_short |
Weighted Inequalities for Potential Operators on Differential Forms |
title_full |
Weighted Inequalities for Potential Operators on Differential Forms |
title_fullStr |
Weighted Inequalities for Potential Operators on Differential Forms |
title_full_unstemmed |
Weighted Inequalities for Potential Operators on Differential Forms |
title_sort |
weighted inequalities for potential operators on differential forms |
publisher |
SpringerOpen |
series |
Journal of Inequalities and Applications |
issn |
1025-5834 1029-242X |
publishDate |
2010-01-01 |
description |
We develop the weak-type and strong-type inequalities for potential operators under two-weight conditions to the versions of differential forms. We also obtain some estimates for potential operators applied to the solutions of the nonhomogeneous A-harmonic equation. |
url |
http://dx.doi.org/10.1155/2010/713625 |
work_keys_str_mv |
AT huibi weightedinequalitiesforpotentialoperatorsondifferentialforms |
_version_ |
1725298918398361600 |