Improved critical Hardy inequalities on 2-dimensional quasi-balls

Bolys Sabitbek, Durvudkhan Suragan, Nurgissa Yessirkegenov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this note we obtain a remainder estimate for improved critical Hardy inequalities on a 2-dimensional quasi-ball on homogeneous Lie groups. These results are new even in the Abelian case of ℝ2 in terms of choosing any choice of homogeneous quasi-norm as well as replacing the full gradient by the radial derivative.

Original languageEnglish
Title of host publicationInternational Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017
EditorsTynysbek Kal'menov, Makhmud Sadybekov
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415607
DOIs
Publication statusPublished - Sept 11 2017
Externally publishedYes
EventInternational Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017 - Astana, Kazakhstan
Duration: Oct 2 2017Oct 5 2017

Publication series

NameAIP Conference Proceedings
Volume1880
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017
Country/TerritoryKazakhstan
CityAstana
Period10/2/1710/5/17

ASJC Scopus subject areas

  • General Physics and Astronomy

Fingerprint

Dive into the research topics of 'Improved critical Hardy inequalities on 2-dimensional quasi-balls'. Together they form a unique fingerprint.

Cite this