eprintid: 13842
rev_number: 27
eprint_status: archive
userid: 3588
dir: disk0/00/01/38/42
datestamp: 2014-11-10 09:21:05
lastmod: 2020-09-08 17:20:08
status_changed: 2017-03-02 11:34:46
type: article
metadata_visibility: show
title: Устранение особенностей и аналоги теоремы Сохоцкого-Вейерштрасса для Q-отображений
language: russian
abstract: We prove that an open discrete Q-mapping f : D → Rn has a continuous extension to an isolated
boundary point if the function Q x ( ) has finite mean oscillation or logarithmic singularities
of order at most n – 1 at this point. Moreover, the extended mapping is open and discrete and is
a Q-mapping. As a corollary, we obtain an analog of the well-known Sokhotskii–Weierstrass
theorem on Q-mappings. In particular, we prove that an open discrete Q-mapping takes any
value infinitely many times in the neighborhood of an essential singularity, except, possibly, for
a certain set of capacity zero.
creators_name: Севостьянов, Є. О.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2009
date_type: published
publication: Український математичний журнал
volume: 61
number: 1
publisher: Національна академія наук
pagerange: 116-126
refereed: TRUE
issn: 1027-3190
citation:   Севостьянов, Є. О.  (2009) Устранение особенностей и аналоги теоремы Сохоцкого-Вейерштрасса для Q-отображений.  Український математичний журнал, 61 (1).  с. 116-126.  ISSN 1027-3190     
document_url: http://eprints.zu.edu.ua/13842/1/1.2.pdf