Holder continuity of harmonic quasiconformal mappings
Апстракт
We prove that for harmonic quasiconformal mappings alpha-Holder continuity on the boundary implies alpha-Holder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open.
Кључне речи:
quasi-conformal maps / harmonic mappings / H?o?lder continuityИзвор:
Journal of Inequalities and Applications, 2011Издавач:
- Springer International Publishing Ag, Cham
Финансирање / пројекти:
- M144010, M174024]
- Academy of Finland [2600066611]
DOI: 10.1186/1029-242X-2011-37
ISSN: 1029-242X
WoS: 000301726600001
Scopus: 2-s2.0-84868123182
Институција/група
Fakultet organizacionih naukaTY - JOUR AU - Arsenović, Miloš AU - Todorčević, Vesna AU - Vuorinen, Matti PY - 2011 UR - https://rfos.fon.bg.ac.rs/handle/123456789/747 AB - We prove that for harmonic quasiconformal mappings alpha-Holder continuity on the boundary implies alpha-Holder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open. PB - Springer International Publishing Ag, Cham T2 - Journal of Inequalities and Applications T1 - Holder continuity of harmonic quasiconformal mappings DO - 10.1186/1029-242X-2011-37 UR - conv_1385 ER -
@article{ author = "Arsenović, Miloš and Todorčević, Vesna and Vuorinen, Matti", year = "2011", abstract = "We prove that for harmonic quasiconformal mappings alpha-Holder continuity on the boundary implies alpha-Holder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open.", publisher = "Springer International Publishing Ag, Cham", journal = "Journal of Inequalities and Applications", title = "Holder continuity of harmonic quasiconformal mappings", doi = "10.1186/1029-242X-2011-37", url = "conv_1385" }
Arsenović, M., Todorčević, V.,& Vuorinen, M.. (2011). Holder continuity of harmonic quasiconformal mappings. in Journal of Inequalities and Applications Springer International Publishing Ag, Cham.. https://doi.org/10.1186/1029-242X-2011-37 conv_1385
Arsenović M, Todorčević V, Vuorinen M. Holder continuity of harmonic quasiconformal mappings. in Journal of Inequalities and Applications. 2011;. doi:10.1186/1029-242X-2011-37 conv_1385 .
Arsenović, Miloš, Todorčević, Vesna, Vuorinen, Matti, "Holder continuity of harmonic quasiconformal mappings" in Journal of Inequalities and Applications (2011), https://doi.org/10.1186/1029-242X-2011-37 ., conv_1385 .