Poincaré inequalities with exact missing terms on homogeneous groups

• Ozawa Tohru

  Department of Applied Physics, Waseda University

• Suragan Durvudkhan

  Department of Mathematics, Nazarbayev University

Bibliographic Information

Other Title

• Poincare inequalities with exact missing terms on homogeneous groups

Abstract

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.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 73 (2), 497-503, 2021

  The Mathematical Society of Japan

Keywords

• Poincaré inequality
• sharp remainder
• optimal constant
• homogeneous group

Details

• CRID: 1390006352515512704
• NII Article ID: 130008029572
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/83738373
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 031414602
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I031414602
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed