Bilinear Hardy inequalities on metric measure spaces
Functional Analysis
2024-04-15 v1 Analysis of PDEs
Classical Analysis and ODEs
Abstract
In this paper, we discuss the Hardy inequality with bilinear operators on general metric measure spaces. We give the characterization of weights for the bilinear Hardy inequality to hold on general metric measure spaces having polar decompositions. We also provide several examples of the results, finding conditions on the weights for integral Hardy inequalities on homogeneous Lie groups, as well as on hyperbolic spaces and more generally on Cartan-Hadamard manifolds.
Keywords
Cite
@article{arxiv.2404.08604,
title = {Bilinear Hardy inequalities on metric measure spaces},
author = {Michael Ruzhansky and Anjali Shriwastawa and Daulti Verma},
journal= {arXiv preprint arXiv:2404.08604},
year = {2024}
}
Comments
20 pages