Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
<p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2008-690932-i1.gif"/></inline-formula> be the unit ball in <inline-formula> <graphic file="1029-242X-2008-690932-i2.gif"/></inline-formula> with respect to the E...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2008/690932 |
| _version_ | 1818033738300260352 |
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| author | Kohr Gabriela Curt Paula |
| author_facet | Kohr Gabriela Curt Paula |
| author_sort | Kohr Gabriela |
| collection | DOAJ |
| description | <p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2008-690932-i1.gif"/></inline-formula> be the unit ball in <inline-formula> <graphic file="1029-242X-2008-690932-i2.gif"/></inline-formula> with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping <inline-formula> <graphic file="1029-242X-2008-690932-i3.gif"/></inline-formula> to be extended to a quasiconformal homeomorphism of <inline-formula> <graphic file="1029-242X-2008-690932-i4.gif"/></inline-formula> onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.</p> |
| first_indexed | 2024-12-10T06:28:02Z |
| format | Article |
| id | doaj.art-5809ea54793c4d5ab005f3188928534c |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-10T06:28:02Z |
| publishDate | 2008-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-5809ea54793c4d5ab005f3188928534c2022-12-22T01:59:10ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-0120081690932Some Remarks Concerning Quasiconformal Extensions in Several Complex VariablesKohr GabrielaCurt Paula<p>Abstract</p> <p>Let <inline-formula> <graphic file="1029-242X-2008-690932-i1.gif"/></inline-formula> be the unit ball in <inline-formula> <graphic file="1029-242X-2008-690932-i2.gif"/></inline-formula> with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping <inline-formula> <graphic file="1029-242X-2008-690932-i3.gif"/></inline-formula> to be extended to a quasiconformal homeomorphism of <inline-formula> <graphic file="1029-242X-2008-690932-i4.gif"/></inline-formula> onto itself. In the last section we consider the asymptotical case of this result and we obtain certain applications.</p>http://www.journalofinequalitiesandapplications.com/content/2008/690932 |
| spellingShingle | Kohr Gabriela Curt Paula Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables Journal of Inequalities and Applications |
| title | 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_short | Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables |
| title_sort | some remarks concerning quasiconformal extensions in several complex variables |
| url | http://www.journalofinequalitiesandapplications.com/content/2008/690932 |
| work_keys_str_mv | AT kohrgabriela someremarksconcerningquasiconformalextensionsinseveralcomplexvariables AT curtpaula someremarksconcerningquasiconformalextensionsinseveralcomplexvariables |