A note on stability of Hardy inequalities
File(s)RS_stability_paper_2017-08-11.pdf (295.6 KB)
Accepted version
Author(s)
Ruzhansky, M
Suragan, Durvudkhan
Type
Journal Article
Abstract
In this note we formulate recent stability results for Hardy inequalities
in the language of Folland and Stein’s homogeneous groups. Consequently, we
obtain remainder estimates for Rellich type inequalities on homogeneous groups.
Main differences from the Eucledian results are that the obtained stability estimates
hold for any homogeneous quasi-norm.
in the language of Folland and Stein’s homogeneous groups. Consequently, we
obtain remainder estimates for Rellich type inequalities on homogeneous groups.
Main differences from the Eucledian results are that the obtained stability estimates
hold for any homogeneous quasi-norm.
Date Acceptance
2017-10-11
Citation
Annals of Functional Analysis
ISSN
2008-8752
Publisher
Duke University Press
Journal / Book Title
Annals of Functional Analysis
Copyright Statement
© Duke University Press
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Grant Number
EP/K039407/1
RPG-2014-002
Publication Status
Accepted