Anisotropic weighted Levin–Cochran–Lee type inequalities on homogeneous Lie groups
In this paper, we first prove the weighted Levin–Cochran–Lee type inequalities on homogeneous Lie groups for arbitrary weights, quasi-norms, and \(L^p\)- and \(L^q\)-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.
Authors
- Michael Ruzhansky (ORCID: https://orcid.org/0000-0001-8633-5570)
- Anjali Shriwastawa
- Bankteshwar Tiwari (ORCID: https://orcid.org/0000-0003-4529-8261)
Institutions
- Queen Mary University of London (GB)
- Banaras Hindu University (IN)
Publication Details
- Journal
- Annales Fennici Mathematici
- Published
- 2025-11-06
- DOI
- https://doi.org/10.54330/afm.176976
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Banaras Hindu University
- Fonds Wetenschappelijk Onderzoek
- Universiteit Gent
- Engineering and Physical Sciences Research Council
- Bijzonder Onderzoeksfonds UGent