@article{1de88abf9d474a958078aeb495453299,
title = "Mappings with bounded (P,Q)-distortion on Carnot groups",
abstract = "We study mappings with bounded (p,q)-distortion associated to Sobolev spaces on Carnot groups. Mappings of such type have applications to the Sobolev type embedding theory and classification of manifolds. For this class of mappings, we obtain estimates of linear distortion, and a geometrical description. We prove also Liouville type theorems and give some sufficient conditions for removability of sets.",
keywords = "Carnot groups, Mappings with bounded distortion, Sobolev spaces",
author = "A. Ukhlov and Vodop'yanov, {S. K.}",
note = "Funding Information: ✩ The first author was partially supported by Israel Scientific Foundation (Grant 1033/07), and the second author was partially supported by the Russian Foundation for Basic Research (Grant 09-01-00807), the State Maintenance Program for Young Russian Scientists and the Leading Scientific Schools of Russian Federation (Grant NSh-5682.2008.1). * Corresponding author. E-mail addresses:
[email protected] (A. Ukhlov),
[email protected] (S.K. Vodop{\textquoteright}yanov).",
year = "2010",
month = sep,
day = "1",
doi = "10.1016/j.bulsci.2009.09.002",
language = "English",
volume = "134",
pages = "605--634",
journal = "Bulletin des Sciences Mathematiques",
issn = "0007-4497",
publisher = "Elsevier Masson SAS",
number = "6",
}