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

b.sabitbek@qmul.ac.uk

Keywords

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

Mathematics Subject Classification

35A23, 35H20, 35R03

Suggested citation

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

Copyright Heldermann Verlag 2021