Sharp remainder of a critical Hardy inequality

Norisuke Ioku; Michinori Ishiwata; Tohru Ozawa

doi:10.1007/s00013-015-0841-7

Sharp remainder of a critical Hardy inequality

Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

An explicit representation is given to the remainder of a critical Hardy inequality in $${L^{n}(\mathbb{R}^{n})}$$Ln(Rn) with $${n \ge 2}$$n≥2.

Original language	English
Pages (from-to)	65-71
Number of pages	7
Journal	Archiv der Mathematik
Volume	106
Issue number	1
DOIs	https://doi.org/10.1007/s00013-015-0841-7
Publication status	Published - 2016 Jan 1

Keywords

Hardy’s inequality
Limiting case
Remainder

Access to Document

10.1007/s00013-015-0841-7

Cite this

@article{117b80bf3cba42489923e57289c2d920,

title = "Sharp remainder of a critical Hardy inequality",

abstract = "An explicit representation is given to the remainder of a critical Hardy inequality in $${L^{n}(\mathbb{R}^{n})}$$Ln(Rn) with $${n \ge 2}$$n≥2.",

keywords = "Hardy{\textquoteright}s inequality, Limiting case, Remainder",

author = "Norisuke Ioku and Michinori Ishiwata and Tohru Ozawa",

note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing.",

year = "2016",

month = jan,

day = "1",

doi = "10.1007/s00013-015-0841-7",

language = "English",

volume = "106",

pages = "65--71",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Sharp remainder of a critical Hardy inequality

AU - Ioku, Norisuke

AU - Ishiwata, Michinori

AU - Ozawa, Tohru

PY - 2016/1/1

Y1 - 2016/1/1

N2 - An explicit representation is given to the remainder of a critical Hardy inequality in $${L^{n}(\mathbb{R}^{n})}$$Ln(Rn) with $${n \ge 2}$$n≥2.

AB - An explicit representation is given to the remainder of a critical Hardy inequality in $${L^{n}(\mathbb{R}^{n})}$$Ln(Rn) with $${n \ge 2}$$n≥2.

KW - Hardy’s inequality

KW - Limiting case

KW - Remainder

UR - http://www.scopus.com/inward/record.url?scp=84955701860&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955701860&partnerID=8YFLogxK

U2 - 10.1007/s00013-015-0841-7

DO - 10.1007/s00013-015-0841-7

M3 - Article

AN - SCOPUS:84955701860

SN - 0003-889X

VL - 106

SP - 65

EP - 71

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 1

ER -

Sharp remainder of a critical Hardy inequality

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this