Hardy type inequalities in generalized grand Lebesgue spaces

Joel E. Restrepo, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

Abstract

In the present paper, we discuss generalized grand Lebesgue spaces on homogeneous Lie groups. We prove Hardy type inequalities in the context of the considered spaces. We also present Hardy–Rellich and Hardy–Sobolev type inequalities extending some recently obtained results.

Original languageEnglish
Article number30
JournalAdvances in Operator Theory
Volume6
Issue number2
DOIs
Publication statusPublished - Apr 2021

Keywords

  • Generalized grand Lebesgue space
  • Hardy inequality
  • Homogeneous group
  • Sharp constant

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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