A note on stability of Hardy inequalities

Michael Ruzhansky, Durvudkhan Suragan

Research output: Contribution to journalArticle

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 Euclidean results are that the obtained stability estimates hold for any homogeneous quasi-norm.
Original languageEnglish
JournalAnnals of Functional Analysis
Publication statusAccepted/In press - 2018

Fingerprint

Homogeneous Groups
Hardy Inequality
Stability Estimates
Remainder
Euclidean
Language
Norm
Estimate

Keywords

  • math.FA

Cite this

A note on stability of Hardy inequalities. / Ruzhansky, Michael; Suragan, Durvudkhan.

In: Annals of Functional Analysis, 2018.

Research output: Contribution to journalArticle

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