{"title":"Bi-Lipschitzity of quasiconformal harmonic mappings in n-dimensional space with respect to k-metric","authors":"Shadia Shalandi","doi":"10.2298/PIM1716085S","DOIUrl":null,"url":null,"abstract":"We explore conditions which guarantee bi-Lipschitzity of harmonic quasiconformal maps with respect to k-metric. We prove that harmonic k-quasiconformal maps with nonzero Jacobian between any two domains in Rn are bi-Lipschitz with respect to k-metric, and prove the converse too.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM1716085S","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We explore conditions which guarantee bi-Lipschitzity of harmonic quasiconformal maps with respect to k-metric. We prove that harmonic k-quasiconformal maps with nonzero Jacobian between any two domains in Rn are bi-Lipschitz with respect to k-metric, and prove the converse too.
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