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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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2008/690932 |
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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 |
work_keys_str_mv |
AT gabrielakohr someremarksconcerningquasiconformalextensionsinseveralcomplexvariables AT paulacurt someremarksconcerningquasiconformalextensionsinseveralcomplexvariables |
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1726006964806221824 |