Geometric Hardy Inequalities on Starshaped Sets

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

Abstract

We present geometric Hardy inequalities on starshaped sets in Carnot groups. Also, we obtain geometric Hardy inequalities on half-spaces for general vector fields.

Original languageEnglish
JournalJournal of Convex Analysis
Volume28
Issue number3
Publication statusPublished - 2021

Funding

The first author was supported by the EPSRC Grant EP/R003025/1, by the Leverhulme Research Grant RPG-2017-151, and by the FWO Odysseus grant G.0H94.18N. The second author was supported by the EPSRC Grant EP/R003025/1 and by the Nazarbayev University grant 090118FD5342. The third author was supported by the Nazarbayev University program 091019CRP2120 and the Nazarbayev University grant 240919FD3901.

Keywords

  • Carnot group
  • Geometric Hardy inequality
  • Starshaped set
  • Sub-Riemannian manifold

ASJC Scopus subject areas

  • Analysis
  • General Mathematics

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