$L^{p}$-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups
Functional Analysis
2017-05-18 v2 Analysis of PDEs
Abstract
We prove -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 our results provide new insights in view of the arbitrariness of the choice of the not necessarily Euclidean quasi-norm.
Keywords
Cite
@article{arxiv.1605.02520,
title = {$L^{p}$-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups},
author = {Tohru Ozawa and Michael Ruzhansky and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:1605.02520},
year = {2017}
}
Comments
12 pages; a revised version. arXiv admin note: text overlap with arXiv:1603.06239