Subelliptic geometric Hardy type inequalities on half-spaces and convex domains

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper we present L2 and Lp versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give examples of the obtained results for the Heisenberg and the Engel groups.

Original languageEnglish
Pages (from-to)1042-1061
Number of pages20
JournalAnnals of Functional Analysis
Volume11
Issue number4
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • Convex domain
  • Geometric Hardy inequality
  • Half-space
  • Stratified groups

ASJC Scopus subject areas

  • Analysis
  • Anatomy
  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Subelliptic geometric Hardy type inequalities on half-spaces and convex domains'. Together they form a unique fingerprint.

Cite this