Work

Anisotropic weighted Levin–Cochran–Lee type inequalities on homogeneous Lie groups

Year: 2025

Type: article

Abstract: 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.

Source: Annales Fennici Mathematici

DOI: 10.54330/afm.176976

Authors: Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari

Institutions: Queen Mary University of London, Ghent University, Banaras Hindu University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond