Anisotropic L2-weighted Hardy and L2-Caffarelli–Kohn–Nirenberg inequalities-Reference-Cited by-同舟云学术

Anisotropic L2-weighted Hardy and L2-Caffarelli–Kohn–Nirenberg inequalities

Published:2017-08-30 Issue:06 Volume:19 Page:1750014
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Ruzhansky Michael¹,Suragan Durvudkhan¹²

Affiliation:

1. Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK

2. Institute of Mathematics and Mathematical Modelling, 125 Pushkin str., 050010 Almaty, Kazakhstan

Abstract

We establish sharp remainder terms of the [Formula: see text]-Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups, yielding the inequalities with best constants. Our methods also give new sharp Caffarelli–Kohn–Nirenberg-type inequalities in [Formula: see text] with arbitrary quasi-norms. We also present explicit examples to illustrate our results for different weights and in abelian cases.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500146

Reference20 articles.

1. An improved Hardy-Sobolev inequality and its application

2. Sobolev inequalities with remainder terms

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