Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

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
and: Inst. of Mathematics and Math. Modeling, Almaty, Kazakhstan

b.sabitbek@qmul.ac.uk

Keywords

  • Starshaped set
  • geometric Hardy inequality
  • Carnot group
  • sub-Riemannian manifold

Mathematics Subject Classification

35A23, 35H20, 35R03

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Suggested citation

M. Ruzhansky, B. Sabitbek, D. Suragan. “Geometric Hardy Inequalities on Starshaped Sets.” Journal of Convex Analysis 28 (2021), No. 3, 927–938. https://doi.org/10.68381/jca28053

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Published by Heldermann Verlag, 2021. Rights now held by Banach Press LLC.