Anisotropic L2-weighted hardy and L2-Caffarelli-Kohn-Nirenberg inequalities

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Title: Anisotropic L2-weighted hardy and L2-Caffarelli-Kohn-Nirenberg inequalities
Author(s): Ruzhansky, M
Suragan, D
Item Type: Journal Article
Abstract: We establish sharp remainder terms of the L 2 -Ca arelli-Kohn-Niren- berg inequalities on homogeneous groups, yielding the inequalities with best con- stants. Our methods also give new sharp Ca arelli-Kohn-Nirenberg type inequali- ties in R n with arbitrary quasi-norms. We also present explicit examples to illustrate our results for di erent weights and in abelian cases.
Publication Date: 25-Jan-2017
Date of Acceptance: 21-Oct-2016
URI: http://hdl.handle.net/10044/1/42193
DOI: https://dx.doi.org/10.1142/S0219199717500146
ISSN: 1793-6683
Publisher: World Scientific Publishing
Journal / Book Title: Communications in Contemporary Mathematics
Volume: 19
Issue: 6
Copyright Statement: © The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Funder's Grant Number: EP/K039407/1
RPG-2014-002
Keywords: math.FA
math.FA
math.AP
0101 Pure Mathematics
General Mathematics
Publication Status: Published
Article Number: 1750014
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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