A Scale Invariant Form of a Critical Hardy Inequality

Norisuke Ioku, Michinori Ishiwata

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


We present a new form of the logarithmic Hardy inequality on the unit ball in \mathbb {R}N with its optimal constant. One of the novelties of our inequality is the scale invariance under the natural scaling. We also discuss the nonexistence of a minimizer for an associated minimizing problem via a scaling argument.

Original languageEnglish
Pages (from-to)8830-8846
Number of pages17
JournalInternational Mathematics Research Notices
Issue number18
Publication statusPublished - 2015
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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