@article{a42b56c752e0408291646b1c05a03d29,
title = "Subelliptic geometric Hardy type inequalities on half-spaces and convex domains",
abstract = "In this paper we present L2 and Lp versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give examples of the obtained results for the Heisenberg and the Engel groups.",
keywords = "Convex domain, Geometric Hardy inequality, Half-space, Stratified groups",
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. The second author was supported in parts by the Nazarbayev University Grant N090118FD5342. Third author was supported by the Nazarbayev University program 091019CRP2120 and in parts by the Nazarbayev University Grant 240919FD3901. Publisher Copyright: {\textcopyright} 2020, The Author(s).",
year = "2020",
doi = "10.1007/s43034-020-00067-9",
language = "English",
volume = "11",
pages = "1042--1061",
journal = "Annals of Functional Analysis",
issn = "2008-8752",
publisher = "Birkhauser",
number = "4",
}