A note on stability of Hardy inequalities

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Title: A note on stability of Hardy inequalities
Authors: Ruzhansky, M
Suragan, D
Item 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.
Date of Acceptance: 11-Oct-2017
URI: http://hdl.handle.net/10044/1/55295
ISSN: 2008-8752
Publisher: Duke University Press
Journal / Book Title: Annals of Functional Analysis
Copyright Statement: © Duke University Press
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Funder's Grant Number: EP/K039407/1
Publication Status: Accepted
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

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