Hardy type inequalities in L p $L^{p}$ with sharp remainders
Abstract Sharp remainder terms are explicitly given on the standard Hardy inequalities in L p ( R n ) $L^{p}(\mathbb {R}^{n})$ with 1 < p < n $1< p< n$ . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1271-1 |
| Summary: | Abstract Sharp remainder terms are explicitly given on the standard Hardy inequalities in L p ( R n ) $L^{p}(\mathbb {R}^{n})$ with 1 < p < n $1< p< n$ . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of the nonexistence of nontrivial extremals. |
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| ISSN: | 1029-242X |