relation: http://eprints.zu.edu.ua/13842/
title: Устранение особенностей и аналоги теоремы Сохоцкого-Вейерштрасса для Q-отображений
creator: Севостьянов, Є. О.
subject: Математичний аналіз
description: 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.
publisher: Національна академія наук
date: 2009
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13842/1/1.2.pdf
identifier:   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     
language: russian