Journal of Convex Analysis 28 (2021), No. 3, 927--938
Copyright Heldermann Verlag 2021
Geometric Hardy Inequalities on Starshaped Sets
Dept. of Mathematics, Ghent University, Belgium
and: School of Mathematical Sciences, Queen Mary University, London, United Kingdom
School of Mathematical Sciences, Queen Mary University, London, United Kingdom
and: Dept. of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
We present geometric Hardy inequalities on starshaped sets in Carnot groups. Also, we obtain geometric Hardy inequalities on half-spaces for general vector fields.
Keywords: Starshaped set, geometric Hardy inequality, Carnot group, sub-Riemannian manifold.
MSC: 35A23, 35H20, 35R03.
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