A note on stability of Hardy inequalities

Michael Ruzhansky; Durvudkhan Suragan

A note on stability of Hardy inequalities

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Journal	Annals of Functional Analysis
Publication status	Accepted/In press - 2018

Keywords

math.FA

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title = "A note on stability of Hardy inequalities",

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. ",

keywords = "math.FA",

author = "Michael Ruzhansky and Durvudkhan Suragan",

note = "to appear in Ann. Funct. Anal",

year = "2018",

language = "English",

journal = "Annals of Functional Analysis",

issn = "2008-8752",

publisher = "Tusi Mathematical Research Group",

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TY - JOUR

T1 - A note on stability of Hardy inequalities

AU - Ruzhansky, Michael

AU - Suragan, Durvudkhan

N1 - to appear in Ann. Funct. Anal

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - math.FA

M3 - Article

SN - 2008-8752

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

ER -

A note on stability of Hardy inequalities

Abstract

Keywords

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