Geometric Hardy Inequalities on Starshaped Sets


Ruzhansky M. Sabitbek B. Suragan D.
2021Heldermann Verlag

Journal of Convex Analysis
2021#28Issue 3

We present geometric Hardy inequalities on starshaped sets in Carnot groups. Also, we obtain geometric Hardy inequalities on half-spaces for general vector fields.

Carnot group , Geometric Hardy inequality , Starshaped set , Sub-Riemannian manifold

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Dept. of Mathematics, Ghent University, Belgium
School of Mathematical Sciences, Queen Mary University of London, United Kingdom, Dept. of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Inst. of Mathematics and Math. Modeling, Almaty, Kazakhstan
Department of Mathematics, Nazarbayev University, Astana, Kazakhstan

Dept. of Mathematics
School of Mathematical Sciences
Inst. of Mathematics and Math. Modeling
Department of Mathematics

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