Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups
Functional Analysis
2017-09-26 v1
Abstract
In this short paper, we establish a range of Caffarelli-Kohn-Nirenberg and weighted -Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the -case.
Keywords
Cite
@article{arxiv.1708.02372,
title = {Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups},
author = {Michael Ruzhansky and Durvudkhan Suragan and Nurgissa Yessirkegenov},
journal= {arXiv preprint arXiv:1708.02372},
year = {2017}
}
Comments
to appear in NoDEA