On Harmonic Quasiconformal Quasi-Isometries
The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic metrics.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/178732 |
| _version_ | 1818584482855256064 |
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| author | M. Mateljević M. Vuorinen |
| author_facet | M. Mateljević M. Vuorinen |
| author_sort | M. Mateljević |
| collection | DOAJ |
| description | The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic metrics. |
| first_indexed | 2024-12-16T08:21:53Z |
| format | Article |
| id | doaj.art-e77b3cc106a545229e9f46714df3ca8d |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-16T08:21:53Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-e77b3cc106a545229e9f46714df3ca8d2022-12-21T22:38:06ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/178732On Harmonic Quasiconformal Quasi-IsometriesM. MateljevićM. VuorinenThe purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic metrics.http://dx.doi.org/10.1155/2010/178732 |
| spellingShingle | M. Mateljević M. Vuorinen On Harmonic Quasiconformal Quasi-Isometries Journal of Inequalities and Applications |
| title | On Harmonic Quasiconformal Quasi-Isometries |
| title_full | On Harmonic Quasiconformal Quasi-Isometries |
| title_fullStr | On Harmonic Quasiconformal Quasi-Isometries |
| title_full_unstemmed | On Harmonic Quasiconformal Quasi-Isometries |
| title_short | On Harmonic Quasiconformal Quasi-Isometries |
| title_sort | on harmonic quasiconformal quasi isometries |
| url | http://dx.doi.org/10.1155/2010/178732 |
| work_keys_str_mv | AT mmateljeviamp263 onharmonicquasiconformalquasiisometries AT mvuorinen onharmonicquasiconformalquasiisometries |