Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities

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Title: Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities
Author(s): Ruzhansky, M
Suragan, D
Yessirkegenov, N
Item Type: Journal Article
Abstract: In this paper, we give an extension of the classical Caffarelli–Kohn–Nirenberg inequalities with respect to the range of parameters. We also establish best constants for large families of parameters. Moreover, we also obtain anisotropic versions of these inequalities which can be conveniently formulated in the language of Folland and Stein's homogeneous groups. We also establish sharp Hardy type inequalities in LpLp, 1<p<∞1<p<∞, with superweights.
Publication Date: 9-May-2017
Date of Acceptance: 20-Apr-2017
URI: http://hdl.handle.net/10044/1/48251
DOI: https://dx.doi.org/10.1016/j.crma.2017.04.011
ISSN: 0249-6291
Publisher: Elsevier
Start Page: 694
End Page: 698
Journal / Book Title: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume: 355
Issue: 6
Copyright Statement: © 2017 Académie des sciences. Published by Elsevier Masson SAS. This is an open access article under the CC-BY license (http://creativecommons.org/licenses/by/4.0/)
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Funder's Grant Number: EP/K039407/1
RPG-2014-002
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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