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.

Bibliographic Details
Main Author: Hui Bi
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/713625
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spelling 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
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