Mappings with bounded distortion on the Heisenberg group.
type: Item
instance of: scholarly article
title: Mappings with bounded distortion on the Heisenberg group.
zbMATH Open document ID: 1039.22002
published in: Doklady Mathematics
publication date: 2004-06-15T00:00:00Z
review text: The paper deals with the theories of quasiconformal (qc) and quasiregular (qr) mappings on the Heisenberg group, with the intention to generalize results that are well-known in the Euclidean spaces. The author remarks that at present the theory of qc maps is almost as complete as in the Euclidean situation whereas in the case of noninjective qr maps some unnatural smoothness conditions have been required. The author's aim is to find a better and more natural definition of qr maps. In the Euclidean case this definition is due to Yu. G. Reshetnyak. Several basic properties of maps qr in the sense of the author are stated.
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 2074430
zbMATH Keywords: quasiregular mapping
zbMATH Keywords: Heisenberg group
author: N. S. Dairbekov
reviewed by: M. Vuorinen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2074430