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Anisotropic L2-weighted hardy and L2-Caffarelli-Kohn-Nirenberg inequalities
| File | Description | Size | Format | |
|---|---|---|---|---|
 RS_L2-CKN-2016-10-29.pdf | Accepted version | 283.86 kB | Adobe PDF | View/Open |
| s0219199717500146.pdf | Published version | 178.05 kB | Adobe PDF | View/Open |
| Title: | Anisotropic L2-weighted hardy and L2-Caffarelli-Kohn-Nirenberg inequalities |
| Authors: | 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. |
| Issue 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.AP 0101 Pure Mathematics General Mathematics |
| Publication Status: | Published |
| Article Number: | 1750014 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |