@article{1a5e8ab6be724ac89d7a9f84484f4ce7,
title = "Geometric Hardy Inequalities on Starshaped Sets",
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.",
keywords = "Carnot group, Geometric Hardy inequality, Starshaped set, Sub-Riemannian manifold",
author = "Michael Ruzhansky and Bolys Sabitbek and Durvudkhan Suragan",
note = "Funding Information: The first author was supported by the EPSRC Grant EP/R003025/1, by the Leverhulme Research Grant RPG-2017-151, and by the FWO Odysseus grant G.0H94.18N. The second author was supported by the EPSRC Grant EP/R003025/1 and by the Nazarbayev University grant 090118FD5342. The third author was supported by the Nazarbayev University program 091019CRP2120 and the Nazarbayev University grant 240919FD3901. Publisher Copyright: {\textcopyright} Heldermann Verlag Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
language = "English",
volume = "28",
journal = "Journal of Convex Analysis",
issn = "0944-6532",
publisher = "Heldermann Verlag",
number = "3",
}