Hardy type inequalities in Lp with sharp remainders

Norisuke Ioku; Michinori Ishiwata; Tohru Ozawa

doi:10.1186/s13660-016-1271-1

Hardy type inequalities in L^p with sharp remainders

Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa

School of Advanced Science and Engineering

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

Sharp remainder terms are explicitly given on the standard Hardy inequalities in L^p(Rⁿ) with 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.

Original language	English
Article number	5
Journal	Journal of Inequalities and Applications
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13660-016-1271-1
Publication status	Published - 2017 Dec 1

Keywords

Hardy’s inequalities
remainders

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-016-1271-1

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Ioku, N., Ishiwata, M., & Ozawa, T. (2017). Hardy type inequalities in L^p with sharp remainders. Journal of Inequalities and Applications, 2017(1), [5]. https://doi.org/10.1186/s13660-016-1271-1

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