Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups

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Title: Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups
Authors: Ozawa, T
Ruzhansky, M
Suragan, D
Item Type: Journal Article
Abstract: We prove $L^{p}$-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, which is one of most general subclasses of nilpotent Lie groups, all with sharp constants. We also discuss some of their consequences. Already in the abelian case of $\mathbb{R}^{n}$ our results provide new insights in view of the arbitrariness of the choice of the not necessarily Euclidean quasi-norm.
Issue Date: 1-Mar-2019
Date of Acceptance: 2-Jul-2018
URI: http://hdl.handle.net/10044/1/62004
ISSN: 0033-5606
Publisher: Oxford University Press (OUP)
Journal / Book Title: Quarterly Journal of Mathematics
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
The Leverhulme Trust
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/K039407/1
RPG-2014-002
RPG-2017-151
EP/R003025/1
Keywords: math.FA
math.AP
22E30, 43A80
0101 Pure Mathematics
General Mathematics
Notes: 12 pages; a revised version. arXiv admin note: text overlap with arXiv:1603.06239
Publication Status: Accepted
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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