Triangular ratio metric in the unit disk

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dc.contributor.authorRainio Oona
dc.contributor.authorVuorinen Matti
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id53310663
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/53310663
dc.date.accessioned2022-10-28T14:25:51Z
dc.date.available2022-10-28T14:25:51Z
dc.description.abstract<p>The triangular ratio metric is studied in a domain G subset of R<em><sup>n</sup></em>, <em>n</em> >= 2. Several sharp bounds are proven for this metric, especially in the case where the domain is the unit disk of the complex plane. The results are applied to study the Holder continuity of quasiconformal mappings.</p>
dc.format.pagerange1299
dc.format.pagerange1325
dc.identifier.eissn1747-6941
dc.identifier.jour-issn1747-6933
dc.identifier.olddbid188223
dc.identifier.oldhandle10024/171317
dc.identifier.urihttps://www.utupub.fi/handle/11111/43564
dc.identifier.urlhttps://doi.org/10.1080/17476933.2020.1870452
dc.identifier.urnURN:NBN:fi-fe2021042826518
dc.language.isoen
dc.okm.affiliatedauthorRainio, Oona
dc.okm.affiliatedauthorVuorinen, Matti
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherTaylor & Francis Ltd
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.relation.doi10.1080/17476933.2020.1870452
dc.relation.ispartofjournalComplex Variables and Elliptic Equations
dc.relation.issue6
dc.relation.volume67
dc.source.identifierhttps://www.utupub.fi/handle/10024/171317
dc.titleTriangular ratio metric in the unit disk
dc.year.issued2022

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