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

Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade

研究成果: Article査読

7 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号281
ジャーナルJournal of Inequalities and Applications
2015
1
DOI
出版ステータスPublished - 2015 12 25

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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