Journal of Convex Analysis 28 (2021), No. 3, 927--938
Copyright Heldermann Verlag 2021
Geometric Hardy Inequalities on Starshaped Sets
Michael Ruzhansky
Dept. of Mathematics, Ghent University, Belgium
and: School of Mathematical Sciences, Queen Mary University, London, United Kingdom
michael.ruzhansky@ugent.be
Bolys Sabitbek
School of Mathematical Sciences, Queen Mary University, London, United Kingdom
and: Dept. of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
b.sabitbek@qmul.ac.uk
Durvudkhan Suragan
Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
durvudkhan.suragan@nu.edu.kz
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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