eprintid: 39959
rev_number: 12
eprint_status: archive
userid: 8171
dir: disk0/00/03/99/59
datestamp: 2024-06-09 12:53:31
lastmod: 2024-06-09 12:53:31
status_changed: 2024-06-09 12:53:31
type: article
metadata_visibility: show
title: On mappings with an analog of the hydrodynamical normalization in the Euclidean space
language: english
abstract: Spatial mappings that satisfy some spatial analog of the hydrodynamic condition in the vicinity of an infinitely remote point have been studied. It has been proved that homeomorphisms of the indicated class form equicontinuous families under certain conditions on their quasi-conformity characteristic. The issue concerning the closure of those classes with respect to the locally uniform convergence has also been considered. Relevant results have been obtained for mappings with integral restrictions, as well as for classes of corresponding inverse mappings.
creators_name: Dovhopiatyi, O. P.
creators_name: Sevost’yanov, Е. А.
ispublished: pub
subjects: QA
subjects: QA77
full_text_status: public
date: 2023
date_type: published
publication: Journal of Mathematical Sciences
publisher: Springer Science+Business Media
refereed: TRUE
issn: 1072-3374
citation:   Dovhopiatyi, O. P., Sevost’yanov, Е. А.  (2023) On mappings with an analog of the hydrodynamical normalization in the Euclidean space.  Journal of Mathematical Sciences.   ISSN 1072-3374     
document_url: http://eprints.zu.edu.ua/39959/1/DovSev_Journ_Math_Sci_2023.pdf