Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Let B be the unit ball in ℂn with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping f∈H(B) to be extended to a quasiconformal homeomorphism of â„Â2n onto itself. In the last section we consider the asymptotical case of th...

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Main Authors: Gabriela Kohr, Paula Curt
Format: Article
Language:English
Published: SpringerOpen 2008-06-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/690932
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spelling doaj-e7b4618c98a549a5b641f69177a3928d2020-11-24T21:19:07ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-06-01200810.1155/2008/690932Some Remarks Concerning Quasiconformal Extensions in Several Complex VariablesGabriela KohrPaula CurtLet B be the unit ball in ℂn with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping f∈H(B) to be extended to a quasiconformal homeomorphism of â„Â2n onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.http://dx.doi.org/10.1155/2008/690932
collection DOAJ
language English
format Article
sources DOAJ
author Gabriela Kohr
Paula Curt
spellingShingle Gabriela Kohr
Paula Curt
Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
Journal of Inequalities and Applications
author_facet Gabriela Kohr
Paula Curt
author_sort Gabriela Kohr
title Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
title_short Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
title_full Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
title_fullStr Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
title_full_unstemmed Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
title_sort some remarks concerning quasiconformal extensions in several complex variables
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-06-01
description Let B be the unit ball in ℂn with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping f∈H(B) to be extended to a quasiconformal homeomorphism of â„Â2n onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.
url http://dx.doi.org/10.1155/2008/690932
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AT paulacurt someremarksconcerningquasiconformalextensionsinseveralcomplexvariables
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