Abstract
We establish sharp remainder terms of the L2-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 ?n with arbitrary quasi-norms. We also present explicit examples to illustrate our results for different weights and in abelian cases.
Original language | English |
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Article number | 1750014 |
Journal | Communications in Contemporary Mathematics |
Volume | 19 |
Issue number | 6 |
DOIs | |
Publication status | Published - Dec 1 2017 |
Keywords
- Caffarelli-Kohn-Nirenberg inequality
- Hardy inequality
- homogeneous Lie group
- sharp remainder
- weighted inequalities
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics