Hardy type inequalities with spherical derivatives

Neal Bez, Shuji Machihara*, Tohru Ozawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A Hardy type inequality is presented with spherical derivatives in Rn with n≥ 2 in the framework of equalities. This clarifies the difference between contribution by radial and spherical derivatives in the improved Hardy inequality as well as nonexistence of nontrivial extremizers without compactness arguments.

Original languageEnglish
Article number5
JournalPartial Differential Equations and Applications
Issue number1
Publication statusPublished - 2020 Feb

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis


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