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...

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Bibliographic Details
Main Authors: Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa
Format: Article
Language:English
Published: SpringerOpen 2017-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1271-1