Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups
Classical Analysis and ODEs
2023-06-08 v1
Abstract
In this paper, we first prove the weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups for arbitrary weights, quasi-norms, and -and -norms. Then, we derive a sharp weighted inequality involving specific weights given in the form of quasi-balls in homogeneous Lie groups. Finally, we also calculate the sharp constants for the aforementioned inequalities.
Keywords
Cite
@article{arxiv.2306.04379,
title = {Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups},
author = {Michael Ruzhansky and Anjali Shriwastawa and Bankteshwar Tiwari},
journal= {arXiv preprint arXiv:2306.04379},
year = {2023}
}
Comments
17 pages