Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper, we establish Hardy inequalities of logarithmic type involving singularities on spheres in Rn in terms of the Sobolev-Lorentz-Zygmund spaces. We prove it by absorbing singularities of functions on the spheres by subtracting the corresponding limiting values.

Original languageEnglish
Article number281
JournalJournal of Inequalities and Applications
Volume2015
Issue number1
DOIs
Publication statusPublished - 2015 Dec 25

Keywords

  • Sobolev-Lorentz-Zygmund space
  • best constant
  • logarithmic Hardy inequality
  • scaling invariant space

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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