Poincaré inequalities with exact missing terms on homogeneous groups

Tohru Ozawa, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review


In this paper, we present exact missing terms for the Poincaré inequalities on homogeneous groups. We also discuss some consequences in the Euclidean cases. Thus, we have succeeded in finding a simple proof of the sharp Poincaré inequality for the Dirichlet Laplacian.

Original languageEnglish
Pages (from-to)497-503
Number of pages7
JournalJournal of the Mathematical Society of Japan
Issue number2
Publication statusPublished - Apr 2021


  • Homogeneous group
  • Optimal constant
  • Poincaré inequality
  • Sharp remainder

ASJC Scopus subject areas

  • General Mathematics


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