Weighted Lp -Hardy and Lp -Rellich inequalities with boundary terms on stratified Lie groups

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

In this paper, generalised weighted Lp-Hardy, Lp-Caffarelli–Kohn–Nirenberg, and Lp-Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and Heisenberg–Pauli–Weyl type uncertainty principles on stratified groups are recovered. Moreover, a weighted L2-Rellich type inequality with the boundary term is obtained.

Original languageEnglish
Pages (from-to)19-35
Number of pages17
JournalRevista Matematica Complutense
Volume32
Issue number1
DOIs
Publication statusPublished - Jan 15 2019

Keywords

  • Boundary term
  • Caffarelli–Kohn–Nirenberg inequality
  • Hardy inequality
  • Rellich inequality
  • Stratified Lie group
  • Uncertainty principle

ASJC Scopus subject areas

  • Mathematics(all)

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