3 papers
math.DG2020
A bipolar Hardy inequality on Finsler manifolds
Ágnes Mester, Alexandru Kristály
We establish a bipolar Hardy inequality on complete, not necessarily reversible Finsler manifolds. We show that our result strongly depends on the geometry of the Finsler structure…
math.DG2020
Sufficient criteria for obtaining Hardy inequalities on Finsler manifolds
Ágnes Mester, Ioan Radu Peter, Csaba Varga
We establish Hardy inequalities involving a weight function on complete, not necessarily reversible Finsler manifolds. We prove that the superharmonicity of the weight function pro…
math.AP2020
Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups
Csaba Farkas, Alexandru Kristály, Ágnes Mester
Given a complete non-compact Riemannian manifold with certain curvature restrictions, we introduce an expansion condition concerning a group of isometries of th…