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Holder continuity of harmonic quasiconformal mappings
dc.creator | Arsenović, Miloš | |
dc.creator | Todorčević, Vesna | |
dc.creator | Vuorinen, Matti | |
dc.date.accessioned | 2023-05-12T10:20:50Z | |
dc.date.available | 2023-05-12T10:20:50Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 1029-242X | |
dc.identifier.uri | https://rfos.fon.bg.ac.rs/handle/123456789/747 | |
dc.description.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. | en |
dc.publisher | Springer International Publishing Ag, Cham | |
dc.relation | M144010, M174024] | |
dc.relation | Academy of Finland [2600066611] | |
dc.rights | openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Journal of Inequalities and Applications | |
dc.subject | quasi-conformal maps | en |
dc.subject | harmonic mappings | en |
dc.subject | H?o?lder continuity | en |
dc.title | Holder continuity of harmonic quasiconformal mappings | en |
dc.type | article | |
dc.rights.license | BY | |
dc.citation.rank | M22 | |
dc.identifier.doi | 10.1186/1029-242X-2011-37 | |
dc.identifier.fulltext | http://prototype2.rcub.bg.ac.rs/bitstream/id/1156/743.pdf | |
dc.identifier.rcub | conv_1385 | |
dc.identifier.scopus | 2-s2.0-84868123182 | |
dc.identifier.wos | 000301726600001 | |
dc.type.version | publishedVersion |