A note on stability of Hardy inequalities

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dc.contributor.authorSuragan, Durvudkhan
dc.contributor.authorRuzhansky, Michael
dc.contributor.authorRuzhansky, Michael
dc.date.accessioned2025-08-19T09:21:14Z
dc.date.available2025-08-19T09:21:14Z
dc.date.issued2018-11-01
dc.description.abstractIn this note, stability versions of the Hardy inequalities are formulated within the framework of Folland and Stein’s homogeneous groups. This yields new remainder estimates for Rellich-type inequalities in that setting. Unlike classical Euclidean results, these stability estimates hold for arbitrary homogeneous quasi‑norms.
dc.identifier.citationRuzhansky M, Suragan D (2018). A note on stability of Hardy inequalities. Annals of Functional Analysis, 9(4):451–462. doi:10.1215/20088752-2017-0060
dc.identifier.doi10.1215/20088752-2017-0060
dc.identifier.issn2008-8752
dc.identifier.otherFilename:10.1215_20088752-2017-0060.pdf
dc.identifier.urihttps://doi.org/10.1215/20088752-2017-0060
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/9502
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofAnnals of Functional Analysisen
dc.sourceAnnals of Functional Analysis, 9(4), 451-462, (2018)en
dc.subjectIn this note, stability versions of the Hardy inequalities are formulated within the framework of Folland and Stein’s homogeneous groups. This yields new remainder estimates for Rellich-type inequalities in that setting. Unlike classical Euclidean results, these stability estimates hold for arbitrary homogeneous quasi‑norms.
dc.titleA note on stability of Hardy inequalitiesen
dc.typeJournal Articleen

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